Question

Match each power of a power expression with its simplified expression.(-49²49(46)-3(4-3)-3141840(-4) 18

Answer 1

When simplifying power of a power expression, simply multiply the two powers.

Let's start with the first expression.

`(4^0)^(-9)=4^(0*-9)=4^0`

Hence, the first expression matched with 4⁰.

Moving on to the second expression,

`(-4^9)^2\Rightarrow(-4^)^(9*2)=(-4)^(18)`

Hence, the second expression match with (-4)¹⁸.

For the third expression,

`(4^6)^(-3)\Rightarrow4^(6*-3)=4^(-18)=(1)/(4^(18))`

Hence, the third expression match with 1/4¹⁸.

Lastly, moving on to the 4th expression,

`(4^(-3))^(-3)\Rightarrow4^((-3*-3))=4^9`

Hence, the 4th expression match with 4⁹.