Question:
Tick (✓) the correct answer
$\sqrt[3]{\frac{64}{343}}=?$
(a) $\frac{4}{9}$
(b) $\frac{4}{7}$
(c) $\frac{8}{7}$
(d) $\frac{8}{21}$
Solution:
(b) $\frac{4}{7}$
$\sqrt[3]{\frac{64}{343}}=\frac{\sqrt[3]{64}}{\sqrt[3]{343}}=\frac{\sqrt[3]{4 \times 4 \times 4}}{\sqrt[3]{7 \times 7 \times 7}}=\frac{\sqrt[3]{(4)^{3}}}{\sqrt[3]{(7)^{3}}}$
$\sqrt[3]{\frac{64}{343}}=\frac{4}{7}$
$\therefore \sqrt[3]{\frac{64}{343}}=\frac{4}{7}$
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