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PLEASE HELP!!!

use the properties of exponents to determine the value of a for the question: 3 square root x over x 1/3 =x^a

PLEASE HELP!!! use the properties of exponents to determine the value of a for the-example-1
User Peter Sun
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1 Answer

6 votes

Answer:

a = 0

Explanation:

The cube root (radical) is equivalent to x^(1/3). When that is divided by x^(1/3), the result is ...

(x^(1/3))/(x^(1/3)) = x^(1/3 -1/3) = x^0

Comparing that to x^a, we find a=0.

_____

The applicable rules of exponents are ...


\sqrt[n]{x^m}=x^{(m)/(n)}\\\\(x^a)/(x^b)=x^(a-b)

User Spurious
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