Question

Drag the tiles to the correct boxes to complete the pairs.

Using the properties of integer exponents, match each expression with the correct equivalent expression.

Answer 1

The answer is 1-2 2-4 3-4 and 4-3

Explanation:

Answer 2

1.
`(-2^2)^(-6)` ÷
`(2^(-5))^(-4) \implies 2^(-32)`

2.
`2^4 . (2^2)^(-2) \implies 1`

3.
`(-2^(-4)).(2^2)^0 \implies -2^8`

4.
`(2^2).(2^3)^(-3) \implies 2^(-5)`

Explanation:

1.
`(-2^2)^(-6)` ÷
`(2^(-5))^(-4)` :

`= \frac{ ( - 2 ^ 2 ) ^ { - 6 } } { ( 2 ^ { - 5 } ) ^ { - 4 } } = (2^(-12))/(2^(20)) = 2^(-12-20)=2^(-32)`

2.
`2 ^ 4 . ( 2 ^ 2 ) ^ { - 2 }` :

`= 2^4 * (1)/(2^4) = 1`

3.
`(-2^(-4)).(2^2)^0` :

`= (-2^4)^2 * 1 = -2^8`

4.
`(2^2).(2^3)^(-3)` :

`= 2^4 * (1)/(2^9) =(1)/(2^5) =2^(-5)`