Question

sqrt[3]{125x ^{9}y ^{12}}

Answer 1

\[\sqrt[3]{125x ^{9}y ^{12}}\]

Answer 2

You can start by rewriting the pieces, \[e.g. x^9=x^{3+3}=x^3x^3\]

Answer 3

how did you do that?

Answer 4

check your exponential rules http://www.math-play.com/image-exponents-rules.jpg

Answer 5

\(\large \sqrt[3]{125x ^{9}y ^{12}}\qquad
\begin{cases}
5\cdot 5\cdot 5\implies 5^3\implies &125\\
x^3\cdot x^3\cdot x^3\implies x^{3+3+3}\implies &x^9\\
y^3\cdot y^3\cdot y^3\cdot y^3\implies y^{3+3+3+3}\implies& y^{12}
\end{cases}
\\ \quad \\

\large \sqrt[3]{125x ^{9}y ^{12}}\iff \sqrt[3]{?}\)