Upload
wes
View
32
Download
0
Embed Size (px)
DESCRIPTION
Warm Up Evaluate each expression for the given values of the variables. 1. x 3 y 2 for x = –1 and y = 10 2. for x = 4 and y = (–7) Write each number as a power of the given base. –100. 3. 64; base 4. 4 3. 4. – 27; base ( – 3). ( – 3) 3. Learning Targets. - PowerPoint PPT Presentation
Citation preview
Holt Algebra 1
7-1 Integer Exponents
Warm UpEvaluate each expression for the given values of the variables.
1. x3y2 for x = –1 and y = 10
2. for x = 4 and y = (–7)
Write each number as a power of the given base.
–100
433. 64; base 4
(–3)34. –27; base (–3)
Holt Algebra 1
7-1 Integer Exponents
Students will be able to: Simplify & Evaluate expressions containing zero and integer exponents.
Learning Targets
Holt Algebra 1
7-1 Integer Exponents
You have seen positive exponents. Recall that to simplify 32, use 3 as a factor 2 times: 32 = 3 3 = 9.
But what does it mean for an exponent to be negative or 0? You can use a table and look for a pattern to figure it out.
3125 625 125 25 5
5
Power
Value
55 54 53 52 51 5–150 5–2
5 5 5
Write & Complete the table!
Holt Algebra 1
7-1 Integer Exponents
Base
x
Exponent
Remember!
4
Holt Algebra 1
7-1 Integer Exponents
Holt Algebra 1
7-1 Integer Exponents
One cup is 2–4 gallons. Simplify this expression.
11 cup is gallon.
16
Holt Algebra 1
7-1 Integer Exponents
A sand fly may have a wingspan up to 5–3 m. Simplify this expression.
Holt Algebra 1
7-1 Integer Exponents
Simplify.
A. 4–3
B. 70
7º = 1Any nonzero number raised to the zero
power is 1.
C. (–5)–4
D. –5–4
Holt Algebra 1
7-1 Integer Exponents
In (–3)–4, the base is negative because the
negative sign is inside the parentheses. In –3–4
the base (3) is positive.
Caution
Holt Algebra 1
7-1 Integer Exponents
Simplify.
a. 10–4
b. (–2)–4
c. (–2)–5
d. –2–5
Holt Algebra 1
7-1 Integer Exponents
Evaluate the expression for the given value of the variables.
x–2 for x = 4
Substitute 4 for x.
Use the definition
Holt Algebra 1
7-1 Integer Exponents
Evaluate the expression for the given values of the variables.–2a0b-4 for a = 5 and b = –3
Substitute 5 for a and –3 for b.Evaluate expressions with
exponents.Write the power in the
denominator as a product.
Evaluate the powers in the product.
Simplify.
Holt Algebra 1
7-1 Integer Exponents
Evaluate the expression for the given value of the variable.
p–3 for p = 4
Substitute 4 for p.
Evaluate exponent.
Write the power in the denominator as a product.
Evaluate the powers in the product.
Holt Algebra 1
7-1 Integer Exponents
Evaluate the expression for the given values of the variables.
for a = –2 and b = 6
2
Substitute –2 for a and 6 for b.
Evaluate expressions with exponents.
Write the power in the denominator as a product.
Evaluate the powers in the product.
Simplify.
Holt Algebra 1
7-1 Integer Exponents
Simplify.A. 7w–4 B.
Holt Algebra 1
7-1 Integer Exponents
Simplify.
C. and
Holt Algebra 1
7-1 Integer Exponents
Simplify.
a. 2r0m–3
b.
c.
HWp.449/25-77odd, Day 2 P.450/78-97