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Kandy's avatar

Rewrite in exponential form?

Asked by Kandy (363points) July 15th, 2013
4 responses
“Great Question” (1points)

I am need help rewriting this into exponential form. I can do almost any other problem but this one confused me. I don’t want the answer, just a how to. Problem= 5√x^2 (quintic root of x squared)

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Answers

Mariah's avatar

Okay, couple of hints to get you going in the right direction.

Somebody has probably taught you that √x is the same thing as x^(½) (if not, then I just did). This rule applies for other roots of x. Cube root of x is x^(⅓), etc.

The other issue you have in this problem is “combining” the exponent caused by the root and the one that’s already there (2). The rule here is that the exponents multiply.

With those two bits of info you should be able to get to the final answer, but let me know if you want more help.

Neodarwinian's avatar

Coupling with the post above, choose your answer.

X^(5/2)

X(2/5)

Neodarwinian's avatar

Make that…,

X^(2/5)

adr's avatar

quintic root is the same as the exponent 1/5.
so the quintic root of x squared, is x squared to the power 1/5
x^2^1/5
when you have a power of a power, you multiply the powers together
since 2×1/5 = 2/5, you then have x^(2/5)
All that time 5 of course :)

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