Rational Exponents to simplify

[Gr8fu13]

Use rational exponents to simplify. Rewrite in radical notation:

?a^10 (but instead of the 3 there is a 12.)
^6?a^5.
This does not feel right, can someone please point me in the right direction?

 

[Denis]

Use rational exponents to simplify. Rewrite in radical notation:
?a^10 (but instead of the 3 there is a 12.)
^6?a^5.
This does not feel right, can someone please point me in the right direction?

^6sqrt(a^5) means WHAT? Please ask someone to show you how to post properly.
If that's the 12th root of a^5, then post like this: (a^5)^(1/12)
RULE: (x^a)^b = x^(ab)
Finish it.

 

[Gr8fu13]

Sorry about that So my original problem would look like this then:
(a^10)^1/12
So my answer would be:
a^10*1/12
Which would make my answer:
a^5/6.

My answer needs to be in rational notation. Would that mean I would need the root symbol in my answer? Or would a^5/6 be considered in rational notation? Thanks!

 

[masters]

Sorry about that So my original problem would look like this then:
(a^10)^1/12
So my answer would be:
a^10*1/12
Which would make my answer:
a^5/6.

My answer needs to be in rational notation. Would that mean I would need the root symbol in my answer? Or would a^5/6 be considered in rational notation? Thanks!

Hi Gr8ful13,

\(\displaystyle \sqrt[12]{a^{10}}=a^{\frac{10}{12}}=a^{\frac{5}{6}}\)

To express the answer using "rational exponents" means to convert the radical index to a fractional exponent.
So your answer is correct. You should group the 5/6, though when expressing it the way you did... a^(5/6).

 

[Gr8fu13]

Thanks for your Feedback Much appreciated!