G8

Answer Key

Homework

33 ⋅ 32 ⋅ 32
Expanded Form Power

3 ⋅ 3 ⋅ 3 ⋅ 3 ⋅ 3 ⋅ 3 ⋅3 = 3^7 33 3 2 2++→^7

Answer: 37

2. ( 42 )^3

Expanded Form Power

( )( )( )^444222 ( 4 ⋅ 4 )( 4 ⋅ 4 )( 4 ⋅ 4 )= 46

4 2⋅3= 4^6

Answer: 46

(푥푥^3 푦푦^2 )^2
Expanded Form Power

(^32 )(^32 ) xy xy ↓↓ (xxxyy)(xxxyy)^ 푥푥⋅푥푥⋅푥푥⋅푥푥⋅푥푥⋅푥푥⋅푦푦⋅푦푦⋅푦푦⋅푦푦 =푥푥^6 푦푦^4

푥푥3⋅2푦푦2⋅2 xy^64

Answer: 푥푥^6 푦푦^4

4. (− 5 )^2 (− 5 )

(− 5 )^2 (− 5 ) ↓ ↓ (− 5 )(− 5 )(− 5 )

(− 5 )^3

(− 5 )^2 (− 5 )^1 (− 5 )2+1 (− 5 )^3

Answer: (− 5 )^3

( 52 )^4
Expanded Form Power

( 52 )( 52 )( 52 )( 52 ) 5 ⋅ 5 ⋅ 5 ⋅ 5 ⋅ 5 ⋅ 5 ⋅ 5 ⋅5 = 5^8

5 2⋅4 58

Answer: 58

6. (푎푎^2 푏푏^3 푐푐^4 )^2

(푎푎^2 푏푏^3 푐푐^4 )(푎푎^2 푏푏^3 푐푐^4 ) (푎푎푎푎푏푏푏푏푏푏푐푐푐푐푐푐푐푐)(푎푎푎푎푏푏푏푏푏푏푐푐푐푐푐푐푐푐) 푎푎푎푎푎푎푎푎푏푏푏푏푏푏푏푏푏푏푏푏푐푐푐푐푐푐푐푐푐푐푐푐푐푐푐푐= 푎푎^4 푏푏^6 푐푐^8

푎푎2⋅2푏푏3⋅2푐푐4⋅2 푎푎^4 푏푏^6 푐푐^8

Answer: 푎푎^4 푏푏^6 푐푐^8

Answer Key