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Use the negative exponent rule to simplify 5 x 5^7/5^20.
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5 votes
Use the negative exponent rule to simplify 5 x 5^7/5^20.

User Peter Short
by
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1 Answer

4 votes

we have the expression


(5\cdot5^7)/(5^((20)))

step 1

Simplify the numerator


(5\cdot5^7)/(5^((20)))=(5^(7+1))/(5^((20)))=(5^8)/(5^((20)))

step 2

Simplify the denominator


(5^8)/(5^((20)))=5^((8-20))=5^(-12)

the answer is 5^-12

User Darshani Jayasekara
by
5.1k points
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