"To calculate: To 27643.." was answered by our experts

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Isa Trevino

Answered question

2021-10-21

To calculate: To

\sqrt[3]{\frac{27}{64}} .

Answer & Explanation

oppturf

Skilled2021-10-22Added 94 answers

Calculation:
According to the basic rules of exponents, ${(a^{m})}^{n} = a^{(m) (n)}$
This can be written as $\sqrt[3]{\frac{27}{64}} = (\frac{27}{64})^{1 / 3}$
$\sqrt[3]{\frac{27}{64}} = ((\frac{3}{4})^{3})^{1 / 3}$
Applying the above rule,
$\sqrt[3]{\frac{27}{64}} = (\frac{3}{4})^{(3) (1 / 3)}$
$\sqrt[3]{\frac{27}{64}} = \frac{3}{4}$

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