Question
Simplify, giving a Solution with a positive index.
$\left(\frac{1}{2 x}\right)^3 \times(6 x)^2$
$\left(\frac{1}{2 x}\right)^3 \times(6 x)^2$
✓
Answer
$\begin{aligned} & \left(\frac{1}{2 \mathrm{x}}\right)^3 \times(6 \mathrm{x})^2 \\ & =\frac{1^3}{(2 x)^3} \times 6^2 \times x^2 \\ & =\frac{1}{2^3 \times x^3} \times 36 \times x^2 \\ & =\frac{36 x^2}{8 x^3} \\ & =\frac{9}{2} x^{2-3} \\ & =\frac{9}{2} x^{-1}=\frac{9}{2 x}\end{aligned}$
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