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5 votes
How to simplify using positive exponents with 5/(a^5)^-2

asked
User Everet
by
8.8k points

1 Answer

7 votes
The problem gives us the expression
(5)/((a^5)^-^2), and we are told to simplify it using positive exponents. First off, we can use the power of a power property to simplify the denominator of the fraction. Basically, we need to multiply
5 and
-2, which gives us
-10, and set that as our exponent of the variable
a. Now, since we already have a negative exponent in the denominator, we can move the whole exponent and it's variable to the numerator, which will make it positive. This gives us
5a^1^0. Therefore, the answer is
\boxed{5a^1^0}. Hope this helped and have a great day!
answered
User Wasim
by
7.4k points

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