Simplify $\left(\dfrac{2}{5}\right)^{3}$.

Simplify $\left(\dfrac{2}{5}\right)^{3}$.
  1. $\dfrac{6}{15}$
  2. $\dfrac{8}{125}$
  3. $\dfrac{8}{15}$
  4. $\dfrac{6}{125}$

Solution

Use $\left(\dfrac{a}{b}\right)^{n} = \dfrac{a^{n}}{b^{n}}$. So $\left(\dfrac{2}{5}\right)^{3} = \dfrac{2^{3}}{5^{3}} = \dfrac{8}{125}$.

Asked in: NSO

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