Exponents and powers

Vocabulary• 46 Base Exponent

The exponent is sometimes referred to as

the power.

What is the meaning of 46 ?• 46 means to multiply the base 4 by itself 6 times.

The meaning of the exponent:

•1.) 46 = 4•4•4•4•4•4

•2.) 43 = 4 • 4 • 4•3.) 41 = 4•4.) 40 = ?

The meaning of the exponent:

•4.) 40 = 1

If 8/4 = 2, then we can say that 23/ 22 = 21. So if 4/4 = 1,we can say that 22/ 22 = 20, therefore 20 must EQUAL 1.

•5.) 4-1 = 1/4

Fill-in the chart•1.) 24 = •2.) 23 = 8 •3.) = 4

•4.) 21 =

•5.) 20 = •6.) 2-1 = •7.) 2-2 = 1/4•8.) 2-3 =

As the exponent gets smaller, what do you

notice about the answer?

Fill - in the chart•1.) 24 = 16

•2.) 23 = 8 •3.) 22 = 4 •4.) 21 = 2

•5.) 20 = 1•6.) 2-1 = 1/2•7.) 2-2 = 1/4•8.) 2-3 = 1/8

Evaluate the following expressions with exponents

•1.) n3 when n =4•43 = 4 • 4 • 4 = 64

•43 = 64

Evaluate the following expressions with exponents

•2.) 15 + x2 when x = 5

•15 + 52

•15 + 5 • 5 • 15 + 25 = 40

Evaluate the following expressions with exponents

•3.) (3a + 6b)2 when a = 1 & b = 2(3(1) + 6(2))2(3 + 12)2 (15)2 225

Evaluate the following expressions with exponents

•4.) 2x3 and (2x)3 when x = 4

•2(43) and (2•4)3 •2(64) and (8)3

•128 and 512

Closure•1.) What’s the difference between an expression and an equation?

•2.) What the difference between a term and a factor?

Closure - Name the following

What’s this?

What’s this?

Closure - Name the following

1.) is 3 a factor or term?2.) What is the 2 called?3.) Is 3x a factor or a term?4.) Is 3x + 2 an expression or an equation?