Question
Simplify, giving Solution with positive index
$- (3ab)^2 (-5a^2bc^4)^2$
$- (3ab)^2 (-5a^2bc^4)^2$
✓
Answer
$\begin{aligned} & -(3 a b)^2\left(-5 a^2 b c^4\right)^2 \\ & =-\left(3^2 a^2 b^2\right) \times(-1)^2 \times 5^2 a^{2 \times 2} b^2 c^{4 \times 2} \\ & =-\left(3^2 a^2 b^2\right)\left(5^2 a^4 b^2 c^8\right) \\ & =-3^2 5^2 a^{2+4} b^{2+2} c^8 \\ & =-225 a^6 b^4 c^8\end{aligned}$
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