Fractional Exponent Help

Hi I'm currently on the fractional exponent part of my math work. My last questions are (64n^9)^2/3 and (5b^2 c^1/4)^3 Could someone please walk me through the steps to solve these questions? It would be greatly appreciated.

ermandfa said:

Hi I'm currently on the fractional exponent part of my math work. My last questions are (64n^9)^2/3 and (5b^2 c^1/4)^3

Could someone please walk me through the steps to solve these questions? It would be greatly appreciated.

Click to expand...

You are missing needed grouping symbols. You can correct that with these:


(64n^9)^(2/3) \(\displaystyle \ \ and \ \ \) (5b^2*c^(1/4))^3 \(\displaystyle \ \ or\)

\(\displaystyle (64n^9)^{\frac{2}{3}} \ \ \ and \ \ \ (5b^2c^{\frac{1}{4}})^3 \)

You can rewrite these as:

\(\displaystyle (64)^{\frac{2}{3}}(n^9)^{\frac{2}{3}} \ \ \ and \ \ \ (5)^3(b^2)^3(c^{\frac{1}{4}})^3\)


If you understand up to that step, then please try to continue and show your work here.

If you don't understand that, then someone else may give you their suggestions and/or refer you to another help site.

You can write:

64 = 2⁶

and then use

[a^m]ⁿ = a^(m*n)