What is equivalent to

Question

asked Aug 18, 2021 91.3k views

1 Answer

Cerealspiller · Answer 1 · 2021-08-24T04:45:56+0000

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

Step-by-step explanation :

The given expression is:

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

As we know that:

$\sqrt[4]{x} =x^{(1)/(4)}$

So, by solving the above expression, we get:

$\Rightarrow 9^{((1)/(4)* (1)/(2)x)}$

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

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

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