This powerpoint will help you when working on Exponenet
Patterning. Welcome to your personal lesson about the laws of
exponents. I hope you enjoy your experience! Here are some things
you need to know: 1. You will need a high speed internet connection
to take advantage of the whole lesson. 2. When you see this button,
it will take you to the base camp (which you will see on the next
page). 3. When you see this button, it will take you to the next
slide. 4. When you see this button, it will take you back to the
slide you just viewed. Lets get started! Slide 2 Exponents in
Action (Video) To the Laws! Quiz Me! Id rather read about it Short
and sweet- Summary of rules Sing me the rules Base Camp Lets Play!
Back to Introduction Listen and see! Practice makes perfect! Slide
3 Video Introducing Exponents 1.Click on the link above. You will
be taken to a blog about introducing exponents. 2.In the first
paragraph, there is a link to an algebra lesson by NROC Algebra 1An
Open course, Unit 7, Lesson 1, Topic 1: Rules of Exponents. Click
on the link. 3.Click on LOG IN AS GUEST. 4.On the new webpage,
click on the PRESENTATION link. Slide 4 Practice makes perfect!
Introducing Exponents 1.Click on the link above. You will be taken
to a blog about introducing exponents. 2.In the first paragraph,
there is a link to an algebra lesson by NROC Algebra 1An Open
course, Unit 7, Lesson 1, Topic 1: Rules of Exponents. Click on the
link. 3.Click on LOG IN AS GUEST. 4.On the new webpage, click on
the WORKED EXAMPLES link. 5.After viewing the examples, click on
the PRACTICE link. Slide 5 Listen and See Exponent Tutorials Click
on the above link to visit a webpage with various tutorials about
the different laws of exponents. Explore any or all of them for
better understanding! Slide 6 Exponent Game Exponent Battleship
Slide 7 Exponent Song Sing me the Rules! Slide 8 Reading Let's
Learn the Exponential Laws Slide 9 Quiz Me! Quiz #1 Quiz #2 Quiz #3
1.For QUIZ #3, click on the link above. You will be taken to a blog
about introducing exponents. 2.In the first paragraph, there is a
link to an algebra lesson by NROC Algebra 1An Open course, Unit 7,
Lesson 1, Topic 1: Rules of Exponents. Click on the link. 3.Click
on LOG IN AS GUEST. 4.On the new webpage, click on the REVIEW link.
Slide 10 Laws of Exponents Law 1 Law 2 Law 3Law 6 Law 5 Law 4Law 7
Law 8 Law 9 Slide 11 Law 1 x 1 = x Any number raised to the power
of 1 equals itself. Show me more! Back to the laws! Slide 12 Law 1
- examples x 1 = x Back to the laws! 10 1 = 10 6 1 = 6 129 1 = 129
3 1 = 3 z 1 = z b 1 = b y 1 = y t 1 = t Slide 13 My turn to
practice. Law: x 1 = x Back to the laws! Q1:8 1 = ? 1 87 9 Slide 14
Great job! You did it! On to the next problem! Back to the laws!
Thats right! Any number raised to the power of one is itself, so 8
1 = 8. Slide 15 My turn to practice. Law: x 1 = x Back to the laws!
Q2:r 1 = ? s 1t r Slide 16 Super! Back to the laws! Thats right!
Any number raised to the power of one is itself, so r 1 = r. On to
the next law! Slide 17 Oops! Try again! Back to the problem!
Remember, any number raised to the power of one is itself! Slide 18
Law 2 Any number (except 0) raised to the power of 0 equals 1. x 0
= 1 Show me more! Back to the laws! Slide 19 Law 2 - examples x 0 =
1 Back to the laws! 10 0 = 1 6 0 = 1 129 0 = 1 3 0 = 1 z 0 = 1 b 0
= 1 y 0 = 1 t 0 = 1 Slide 20 My turn to practice. Law: x 0 = 1 Back
to the laws! Q1:8 0 = ? 1 880 0 Slide 21 Yay! Back to the laws!
Thats right! Any number raised to the power of zero is 1, so 8 0 =
1. On to the next problem! Slide 22 My turn to practice. Law: x 0 =
1 Back to the laws! Q2:t 0 = ? s t1 10 Slide 23 Good job! Back to
the laws! Thats right! Any number raised to the power of zero is 1,
so t 0 = 1. On to the next law! Slide 24 Not yet! Try again! Back
to the problem! Remember, any number raised to the power of zero is
1. Slide 25 Law 3 Any number raised to the power of -1 equals its
reciprocal (multiplicative inverse). x -1 = 1/x where x 0 Show me
more! Back to the laws! Slide 26 Law 3 - examples x -1 = 1/x where
x 0 Back to the laws! 10 -1 = 1/10 6 -1 = 1/6 129 -1 = 1/129 3 -1 =
1/3 z -1 = 1/z b -1 = 1/b y -1 = 1/y t -1 = 1/t Slide 27 My turn to
practice. Law: x -1 = 1/x Back to the laws! Q1:4 -1 = ? 41 14-4 1/4
Slide 28 You did it! Back to the laws! Thats right! Any number
raised to the power of -1 is 1 over itself (its reciprocal), so 4
-1 = 1/4. On to the next problem! Slide 29 My turn to practice.
Law: x -1 = 1/x Back to the laws! Q2:z -1 = ? z -z1/z z/z Slide 30
Looking good! Back to the laws! Thats right! Any number raised to
the power of -1 is one over itself (its reciprocal), so z -1 = 1/z.
On to the next law! Slide 31 Think again! Back to the problem!
Remember, any number raised to the power of -1 is 1 over itself
(its reciprocal). Slide 32 Law 4 Any number raised to a power
multiplied by that same number raised to another power equals the
same number raised to the sum of the powers. x m x n = x m+n Show
me more! Back to the laws! Slide 33 Law 4 - examples x m x n = x
m+n Back to the laws! 10 4 10 5 = 10 9 6 3 6 7 = 6 10 129 2 129 5 =
129 7 3 6 3 8 = 3 14 x 5 x 8 = x 13 b 2 b 4 = b 6 y 1 y 4 = y 5 t 2
t 3 = t 5 Slide 34 My turn to practice. Law: x m x n = x m+n Back
to the laws! Q1:5 2 5 8 = ? 5 10 10 25 10 10 28 Slide 35 Yippee!
Back to the laws! Thats right! Any number raised to a power
multiplied by the same number raised to another power is equal to
that same number raised to the sum of the powers. So, 5 2 5 8 = 5
10 On to the next problem! Slide 36 My turn to practice. Law: x m x
n = x m+n Back to the laws! Q2:v 3 v 6 = ? v 18 v3v3 v 36 v9v9
Slide 37 Not quite! Back to the problem! Remember, any number
raised to a power multiplied by the same number raised to another
power is equal to that same number raised to the sum of the powers.
Slide 38 Couldnt be better! Back to the laws!On to the next law!
Thats right! Any number raised to a power multiplied by the same
number raised to another power is equal to that same number raised
to the sum of the powers. So, v 3 v 6 = v 9 Slide 39 Law 5 Any
number raised to a power divided by that same number raised to
another power equals the same number raised to the difference of
the powers. x m /x n = x m-n Show me more! Back to the laws! Slide
40 Law 5 - examples x m /x n = x m-n Back to the laws! 10 7 /10 5 =
10 2 6 3 /6 1 = 6 2 129 4 /129 2 = 129 2 3 9 /3 5 = 3 4 x 9 /x 2 =
x 7 b 6 /b 3 = b 3 y 8 /y 4 = y 4 t 9 /t 3 = t 6 Slide 41 My turn
to practice. Law: x m /x n = x m-n Back to the laws! Q1:5 7 /5 4 =
? 5 11 5 74 5353 10 3 Slide 42 You are so right! Back to the laws!
Thats right! Any number raised to a power divided by the same
number raised to another power is equal to that same number raised
to the difference of the powers. So, 5 7 /5 4 = 5 3 On to the next
problem! Slide 43 My turn to practice. Back to the laws! Q2:v 8 /v
6 = ? v 86 v2v2 v 10 v 14 Law: x m /x n = x m-n Slide 44 Lets try
that again! Back to the problem! Remember, any number raised to a
power divided by the same number raised to another power is equal
to that same number raised to the difference of the powers. Slide
45 Wow! Back to the laws!On to the next law! Thats right! Any
number raised to a power divided by the same number raised to
another power is equal to that same number raised to the difference
of the powers. So, v 8 /v 6 = v 2 Slide 46 Law 6 Any number raised
to a power then raised to another power equals the same number
raised to the product of the powers. (x m ) n = x mn Show me more!
Back to the laws! Slide 47 Law 6 - examples (x m ) n = x mn Back to
the laws! (10 7 ) 5 = 10 35 (6 3 ) 4 = 6 12 (129 2 ) 5 = 129 10 (3
6 ) 8 = 3 48 (x 2 ) 7 = x 14 (b 3 ) 5 = b 15 (y 7 ) 3 = y 21 (t 9 )
1 = t 9 Slide 48 My turn to practice. Law: (x m ) n = x mn Back to
the laws! Q1:(5 7 ) 3 = ? 5 10 5 21 15 7 35 3 Slide 49 Youve got
it! Back to the laws! Thats right! Any number raised to a power
then raised to another power is that same number raised to the
product of the powers. So, (5 7 ) 3 = 5 21 On to the next problem!
Slide 50 My turn to practice. Back to the laws! Q2:(v 4 ) 8 = ? v
48 v 12 v 32 v4v4 Law: (x m ) n = x mn Slide 51 Sorry! Back to the
problem! Remember, any number raised to a power then raised to
another power is equal to that same number raised to the product of
the powers. Slide 52 Nice work! Back to the laws!On to the next
law! Thats right! Any number raised to a power then raised to
another power is that same number raised to the product of the
powers. So, (v 4 ) 8 = v 32 Slide 53 Law 7 Any product of two
numbers raised to a power equals the first number raised to the
power multiplied by the second number raised to the same power.
(xy) n = x n y n Show me more! Back to the laws! Slide 54 Law 7 -
examples (xy) n = x n y n Back to the laws! (103) 5 = 10 5 3 5 (62)
3 = 6 3 2 3 (127) 2 = 12 2 7 2 (45) 4 = 4 4 5 4 (xz) 4 = x 4 z 4
(bc) 3 = b 3 c 3 (rs) 7 = r 7 s 7 (tu) 6 = t 6 u 6 **These
numerical expressions can be simplified to a whole number. Slide 55
My turn to practice. Law: (xy) n = x n y n Back to the laws!
Q1:(53) 7 = ? 57375737 53 7 157 573573 Slide 56 Thats it! Back to
the laws! Thats right! Any product of two numbers raised to a power
equals the first number raised to the power multiplied by the
second number raised to the same power. So, (53) 7 = 5 7 3 7 On to
the next problem! Slide 57 My turn to practice. Back to the laws!
Q2:(vt) 8 = ? 8vt vt 8 v8tv8t v8t8v8t8 Law: (xy) n = x n y n Slide
58 Lets go back! Back to the problem! Remember, any product of two
numbers raised to a power equals the first number raised to the
power multiplied by the second number raised to the same power.
Slide 59 Youre doing great! Back to the laws!On to the next law!
Thats right! Any product of two numbers raised to a power equals
the first number raised to the power multiplied by the second
number raised to the same power. So, (vt) 8 = v 8 t 8 Slide 60 Law
8 Any quotient raised to a power equals the first number raised to
the power divided by the second number raised to the power. (x/y) n
= x n /y n Where y 0 Show me more! Back to the laws! Slide 61 Law 8
- examples (x/y) n = x n /y n Where y 0 Back to the laws! (10/3) 5
= 10 5 /3 5 (6/2) 3 = 6 3 /2 3 (12/7) 2 = 12 2 /7 2 (4/5) 4 = 4 4
/5 4 (x/z) 4 = x 4 /z 4 (b/c) 3 = b 3 /c 3 (r/s) 7 = r 7 /s 7 (t/u)
6 = t 6 /u 6 Slide 62 My turn to practice. Law: (x/y) n = x n /y n
Back to the laws! Q1:(6/4) 3 = ? 6/4 3 6/12 6 3 /4 3 6 3 /4 Slide
63 Nice work! Back to the laws! Thats right! Any quotient raised to
a power equals the first number raised to the power divided by the
second number raised to the power. So, (6/4) 3 = 6 3 /4 3 On to the
next problem! Slide 64 My turn to practice. Back to the laws!
Q2:(v/t) 7 = ? 7vtv7tv7t v7t7v7t7 Law: (x/y) n = x n /y n v 7 /t 7
Slide 65 Try again! Back to the problem! Remember, any quotient
raised to a power equals the first number raised to the power
divided by the second number raised to the power. Slide 66 Super!
Back to the laws!On to the next law! Thats right! Any quotient
raised to a power equals the first number raised to the power
divided by the second number raised to the power. So, (v/t) 7 = v 7
/t 7 Slide 67 Law 9 Any number raised to a negative power equals
one over the number raised to the power. x -n = 1/x n Show me more!
Back to the laws! Slide 68 Law 9 - examples x -n = 1/x n Back to
the laws! 10 -5 = 1/10 5 6 -4 = 1/6 4 12 -3 = 1/12 3 4 -7 = 1/4 7 x
-8 = 1/x 8 b -5 = 1/b 5 r -2 = 1/r 2 t -7 = 1/t 7 Slide 69 My turn
to practice. Law: x -n = 1/x n Back to the laws! Q1:8 -3 = ? 1/8 3
1/24 1/838383 Slide 70 Nice job! Back to the laws! Thats right! Any
number raised to a negative power equals one over the number raised
to the power. So, 8 -3 = 1/8 3 On to the next problem! Slide 71 My
turn to practice. Back to the laws! Q2:t -9 = ? 9t1/t 9 1/9tt9t9
Law: x -n = 1/x n Slide 72 Not yet, try again! Back to the problem!
Remember, any number raised to a negative power equals one over the
number raised to the power. Slide 73 Terrific! Back to the laws!
Thats right! Any number raised to a negative power equals one over
the number raised to the power. So, t -9 = 1/t 9 Slide 74 In
summary x 1 = x x 0 = 1 x -1 = 1/x x m x n = x m+n x m /x n = x m-n
(x m ) n = x mn (xy) n = x n y n (x/y) n = x n /y n x -n = 1/x
n
