Question
Simplify:
$\Bigg(\frac{15^\frac{1}{4}}{3^\frac{1}{2}}\Bigg)^{-2}$
$\Bigg(\frac{15^\frac{1}{4}}{3^\frac{1}{2}}\Bigg)^{-2}$
✓
Answer
$\Bigg(\frac{15^\frac{1}{4}}{3^\frac{1}{2}}\Bigg)^{-2}$
$=\Bigg(\frac{3^\frac{1}{2}}{15^\frac{1}{4}}\Bigg)^2$
$=\frac{3^{\frac{1}{2}\times2}}{15^{\frac{1}{4}\times2}}$
$=\frac{3}{15^\frac{1}{2}}$
$=\Bigg(\frac{3^\frac{1}{2}}{15^\frac{1}{4}}\Bigg)^2$
$=\frac{3^{\frac{1}{2}\times2}}{15^{\frac{1}{4}\times2}}$
$=\frac{3}{15^\frac{1}{2}}$
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