Question

1.Simplify:
(1) ∛(27/125)
(2) ∛(16/54) in full solution​

Answer 1

(1) Cube root of (27/125)

= \sqrt[3]{ \frac{3 \times 3 \times 3}{5 \times 5 \times 5} } \\ = \sqrt[3]{( \frac{3}{5})^{3} } \\ = \frac{3}{5} \: \: answer[/tex]

(2) Cube root of (16/54)

$= \sqrt[3]{ \frac{2 \times 2 \times 2 \times 2}{2 \times 3 \times 3 \times 3} } \\ = \sqrt[3]{ \frac{2 \times 2 \times 2}{3 \times 3 \times 3} } \\ = \sqrt[3]{ { \frac{2}{3} }^{3} } \\ = \frac{2}{3}$

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