Question

Simplify (sqrt)-125m^6n^9 using factor tree or splitting up using perfect squares. Quick answer showing work = amazing review :) can’t send picture of problem bc Brainly crashes. Please draw what u think it looks like and I will confirm :))

Answer 1

$5m^3n^4\sqrt[]{5}\sqrt[]{n}$

1) Let's simplify this root:

$\begin{gathered} \sqrt[]{125m^6n^9}=\sqrt[]{125}\cdot\sqrt[]{m^6}\cdot\sqrt[]{n^9} \\ \sqrt[]{125}=\sqrt[]{5^2\cdot5} \\ \sqrt[]{m^6}=m^{\frac{6}{2}}=m^3 \\ \sqrt[]{n^9}=n^{\frac{8}{2}}\cdot n^{\frac{1}{2}}=n^4\sqrt[]{n} \end{gathered}$

2) So, writing this one as a single one:

$5\sqrt[]{5}m^3n^4\sqrt[]{n}$

Note that we factored and rewrote as rational exponents.

Thus, this is the answer