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.

Step-by-step explanation:

The given expression is,

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

Use the property of radical expression
`\sqrt[n]{x} =x^{(1)/(n) }`.

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

Use the property,
`(x^m)^n=x^(mn)`

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

`\sqrt[4]{9^{(1)/(2)}}x=9^{(1)/(8)x`

Therefore, the correct option is B.