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

Question

asked Jul 8, 2022 159k views

1 Answer

Spurious · Answer 1 · 2022-07-12T16:54:41+0000

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.

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The applicable rules of exponents are ...

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