Question

What is equivalent to​

Answer 1

Answer : The expression which is equivalent to $\sqrt[4]{9}^{\frac{1}{2}x}$ is $9^{(\frac{1}{8}x)}$.

Step-by-step explanation :

The given expression is:

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

As we know that:

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

So, by solving the above expression, we get:

$\Rightarrow 9^{(\frac{1}{4}\times \frac{1}{2}x)}$

By multiplying the power of 9, we get the following expression.

$\Rightarrow 9^{(\frac{1}{8}x)}$

Hence, the expression which is equivalent to $\sqrt[4]{9}^{\frac{1}{2}x}$ is $9^{(\frac{1}{8}x)}$.