Question

Which is equivalent to

Answer 1

(b) 9^(1/8x)

Explanation:

You want to know the equivalent to ...

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

Powers and roots

The n-th root is equivalent to the (1/n)-th power. We also know that ...

(a^b)^c = a^(bc)

Simplified

Then the simplified expression is ...

`\sqrt[4]{9}^{(1)/(2)x} = 9^{(1)/(4)\cdot(1)/(2)x}=\boxed{9^{(1)/(8)x}}\qquad\text{matches choice B}`

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