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.

$(4^0)^{-9}=4^{0\times-9}=4^0$

Hence, the first expression matched with 4⁰.

Moving on to the second expression,

$(-4^9)^2\Rightarrow(-4^)^{9\times2}=(-4)^{18}$

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

For the third expression,

$(4^6)^{-3}\Rightarrow4^{6\times-3}=4^{-18}=\frac{1}{4^{18}}$

Hence, the third expression match with 1/4¹⁸.

Lastly, moving on to the 4th expression,

$(4^{-3})^{-3}\Rightarrow4^{(-3\times-3})=4^9$

Hence, the 4th expression match with 4⁹.