Question

Simplify u^4 (gu^2)^6 gWrite your answer with only positive exponents.

Answer 1

$G^7U^{16}$

Explanation

some properties of the exponents are:

$\begin{gathered} a^m_{}\cdot a^n=a^{m+n} \\ \frac{a^m_{}}{a^n}=a^{m-n} \\ (a^m)^n=a^{m\cdot n} \\ (ab)^m=(a^mb^m) \end{gathered}$

so

Step 1

simplify by following the rule of the properties

$\begin{gathered} U^4(GU^2)^6G \\ U^4(G^{1\cdot6}U^{2\cdot6})G^1 \\ U^4G^6U^{12}G^1 \\ G^7U^{16} \end{gathered}$

therefore, the answer is

$G^7U^{16}$

I hope this helps you