Question

simplify the expression?

a) (g^2h)^3 x (g^-2h^4)^-6

Answer 1

Hint...

You're supposed to know these two basic rules...

\[\Large (g^2h)^3 \cdot (g^{-2}h^4)^{-6}\]

\[\LARGE\boxed{\left(a^n \right)^m=a^{n\cdot m} \quad \quad \& \quad \quad a^m\cdot a^n=a^{m+n}}\]

Answer 2

\[ (g^2h)^3 x (g^{-2}h^4)^{-6}\]
\[= (g^2h)^3 / (g^{-2}h^4)^6\]
\[= g^{(2\times3)} h^3 / [ g^{(-2\times6)} h^{4\times6}) ]\]
\[= g^6h^3 / g^{-12}h^{24}\]
\[= g^6 g^{12}h^3/h^{24}\]
Can you simplify it from here?