warm-up write without exponents. 1) 2) 3) 4) simplify. express using exponents. 5)
TRANSCRIPT
Warm-UpWarm-Up
Write without exponents.
1)
32
2)
12
3)
25
4)
3 4 27 7 7
Simplify. Express using exponents.
5)
4 4 4 45 5 5 5
Exponents to a PowerExponents to a PowerObjectives: •To find a power of a power•To find a power of a product or quotient
Raising a Power to a PowerRaising a Power to a PowerFor any rational number a, and any whole numbers m and n,
m n mn(a ) a
Example 1Example 1Simplify. Express using exponents.
(52)3 = 56
(45)6 = 430
(x4)7 = x28
PracticePractice
1) (54)3
Simplify. Express using exponents.
2) (22)5
3) (a6)3
4) (n4)4
Example 2Example 2Simplify.
(5x)3 = (5x)(5x)(5x)
(3z)2 = (3z)(3z)
(2y2)4
= (2y2)(2y2)(2y2)(2y2)
= 125x3
= 9z2
= 16y8
PracticePractice
1) (3y)2
Simplify.
2) (6m)4
3) (2a3)3
4) (4x3)2
Example 3Example 3Simplify.
(4x5y2)3 = 43x15y6
(-2x5y2)7 = -27x35y14
(2y2)4
= (2y2)(2y2)(2y2)(2y2)
= 64x15y6
= -128x35y14
= 16y8
PracticePractice
1) (4y3)4
Simplify.
2) (3x4y7z6)5
3) (-7x9y6)2
Example 4Example 4Simplify.
23x5
6
2
x5
6x
25
45
3
xy
20
12
xy