Student Help
KEYSTROKE HELP
Use
or
to
input the exponent.
4
EXAMPLE
Evaluate Expressions with a Calculator
Use a calculator to evaluate (22)4.
Solution You can simplify the expression first.
(22) 4 28
Use power of a power property.
KEYSTROKES
2
8
ANSWER 䊳
DISPLAY
0.00390625
(22)4 ≈ 0.0039
Evaluate Expressions with a Calculator
Use a calculator to evaluate the expression.
8. 73
9. 62 p 61
10. (33)2
5
EXAMPLE
Simplify Exponential Expressions
Rewrite the expression with positive exponents.
c2
b. d3
a. 2x2y3
c. (5a)2
Solution
1
1
a. 2x2y3 2 p 2 p 3
x
y
2
xy
23
c2
1
b. 3 c2 p 3
d
d
Use definition of negative exponents.
Multiply.
Multiply by reciprocal.
1
c
Use definition of negative exponents.
d3
c
Multiply.
2 p d 3
2
1
c. (5a)2 2
(5a)
Use definition of negative exponents.
1
5 pa
Use power of a product property.
1
25a
Evaluate power.
2
2
2
Simplify Exponential Expressions
Rewrite the expression with positive exponents.
3
11. 2x3y3
12. 2
13. (5b)3
x
8.2
Zero and Negative Exponents
451