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klemol [59]
3 years ago
13

Find the power of

rac{3}{8} " align="absmiddle" class="latex-formula">³
Mathematics
2 answers:
Svetradugi [14.3K]3 years ago
7 0
\sf Hello!

\sf Since,

(\dfrac{\sf a}{\sf b})^{\sf n} = \dfrac{\sf a^{n}}{\sf b^{n}}

\sf Then,

(\dfrac{\sf 3}{\sf 8})^{\sf 3} = \dfrac{\sf 3^{3}}{\sf 8^{3}} = \dfrac{\sf 27}{\sf 512}

~ \sf iCarl
Ulleksa [173]3 years ago
6 0

If is \dfrac{3^3}{8} then your answer is

\dfrac{3\cdot3\cdot3}{8}=\dfrac{27}{8}

If is \left(\dfrac{3}{8}\right)^3 then your answer is

\dfrac{3}{8}\cdot\dfrac{3}{8}\cdot\dfrac{3}{8}=\dfrac{27}{512}

Other method.

Use \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}

\left(\dfrac{3}{8}\right)^3=\dfrac{3^3}{8^3}=\dfrac{27}{512}

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