Question

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

Answer 1

`G^7U^(16)`

Step-by-step 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