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Mathematics 18 Online
OpenStudy (anonymous):

Need help with Simplifying Power to Power expressions. (c^5 a^1/5) ^-4/5

OpenStudy (anonymous):

I tried working this and got 1/c^2/5 a^4/5

OpenStudy (anonymous):

I mean 20/5

OpenStudy (anonymous):

\[(c^{5} a^{1/5})^{-4/5}\] Multiply all exponents inside by -4/5 and get: \[c^{-4} a^{-4/25}\] which is equivalent to \[\frac{ 1 }{ c^{4} a^{4/25} }\]

OpenStudy (anonymous):

How do we write this without negative exponents?

OpenStudy (anonymous):

Should the a exponent be a^4/25

OpenStudy (anonymous):

Yes. The last line of my answer has the answer without negative exponents.

OpenStudy (anonymous):

Should the a be a^4/25

OpenStudy (anonymous):

Or should both answers be fractions c^4/5 a^4/15

OpenStudy (anonymous):

Yes, it is.

OpenStudy (anonymous):

The exponent on the c is 4, the exponent on the a is 4/25

OpenStudy (anonymous):

should both be fractions, i.e., 1/c^5/25 a^4/25

OpenStudy (anonymous):

No, it's one fraction

OpenStudy (anonymous):

I mean c^4/25

OpenStudy (anonymous):

Thank you I will work two more to see if I can get this. Here is your medal you were righ!

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