Simplify 2512 1 2 × 8−23

Question 1 Report

Simplify 25 $^{\frac{1}{2}}$ × 8 $^{\frac{- 2}{3}}$

\frac{1}{4}

\frac{1}{4}

Answer Details

Using law of indices:
25 $\frac{1}{2}$ × 8 $\frac{- 2}{3}$
= √25 x ( $\sqrt[3]{8}$ ) -2
= 5 x 2-2
= 5 x $\frac{1}{2^{2}}$ =
$\frac{5}{4}$ = $\frac{11}{4}$

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