Question

Which is equivalent to 4 square root 9^1/2x? Choices are: A) 9^2x B) 9^1/8x C) square root 9^x D) 6 square root 9^x

Answer 1

It should be B im not sure

Answer 2

Answer: The correct option is B.

Explanation:

The given expression is,

$\sqrt[4]{9^{\frac{1}{2}}}x$

Use the property of radical expression $\sqrt[n]{x} =x^{\frac{1}{n} }$.

$\sqrt[4]{9^{\frac{1}{2}}}x=(9^{\frac{1}{2})^{\frac{1}{4}}}x$

Use the property, $(x^m)^n=x^{mn}$

$\sqrt[4]{9^{\frac{1}{2}}}x=9^{\frac{1}{2\times 4}x$

$\sqrt[4]{9^{\frac{1}{2}}}x=9^{\frac{1}{8}x$

Therefore, the correct option is B.