Question

(m^3n^5)^1/4

How do I take out the n since it is n^5/4, thanks!

Answer 1

Answer: See below

Step-by-step explanation:

Apply exponent rule: $\left(a\cdot \:b\right)^n=a^nb^n$

$\left(m^3n^5\right)^{\frac{1}{4}}=\left(m^3\right)^{\frac{1}{4}}\left(n^5\right)^{\frac{1}{4}}$

Simplify m:

$\left(m^3\right)^{\frac{1}{4}}=m^{3\cdot \frac{1}{4}}$

$=m^{\frac{3}{4}}$

Simplify n:

$\left(n^5\right)^{\frac{1}{4}}=n^{5\cdot \frac{1}{4}}$

$=n^{\frac{5}{4}}$

Final expression

$=m^{\frac{3}{4}}n^{\frac{5}{4}}$