Question

Which expression is equivalent to (53)−2?

1 over 5 to the 3rd
negative 1 over 5 times 5 times 5 times 5 times 5 times 5 times
53
1 over 5 times 5 times 5 times 5 times 5 times 5 times

Answer 1

1/5 5 5 5 5 5

Explanation:

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Answer 2

`a^(-n)=(1)/(a^n)\\(a^n)^m=a^(n\cdot m)\\\\(5^3)^(-2)=5^(3\cdot(-2))=5^(-6)=(1)/(5^6)=(1)/(5\cdot5\cdot5\cdot5\cdot5\cdot5)`