Question

What is equivalent to​

Answer 1

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)}`.