I need to write the radical expression in exponential form. 8 divided by 7th. root of x to the 15th. power. I think it is8x^7/15. Is that correct?

Question

I need  to write the radical expression in exponential form.  8 divided by 7th. root of x to the 15th.  power.  I think it is8x^7/15.  Is that correct?

anonymous · Answer

Almost.

anonymous · Answer

$$\large \frac{8}{\sqrt[7]{x^{15}}} \rightarrow 8 \cdot x^{-15/7}$$

anonymous · Answer

$$\large 8 \cdot x^{7/15} = 8 \cdot \sqrt[15]{x^7}$$

anonymous · Answer

I thought the denominator would be multiplied by x ^7/15 and also the numerator by the same

anonymous · Answer

Hmm, like a rationalizing the denominator trick?

anonymous · Answer

yes

anonymous · Answer

You need to multiply by something else.
x^(15/7) × x^(7/15) = x^(274/105)

anonymous · Answer

what happened to the denominaif it wasn't rationalized

anonymous · Answer

Do you want your answer with no negative exponents? And/or no radicals in the denominator?

anonymous · Answer

not sure.  My choices for answers doesn't include any denominators.  your answer is one of my choices but what happened to the denominator?

anonymous · Answer

I expressed it using a negative exponent.

anonymous · Answer

got it   ok  thanks

anonymous · Answer

1/x = x^-1, etc.

anonymous · Answer

yep