Isa Trevino

2021-10-21

To calculate:
To $\sqrt[3]{\frac{27}{64}}.$.

oppturf

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

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