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

Match each power of a power expression with its simplified expression.(-49²49(46)-3(4-3)-3141840(-4) 18-example-1
User Bennedich
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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.

User Ahmad Hammoud
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