3 years ago

What is the volume of this?

Mathematics

1 answer:

DochEvi [55]3 years ago

5 0

Answer: 41,472

Step-by-step explanation:

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$\bigg( {5}^{ \frac{3}{8}} \: . {5}^{ \frac{1}{8}} \bigg)^{3} \\ \\ = \bigg( {5}^{ \frac{3}{8} + \frac{1}{8}} \bigg)^{3} \\ \\ = \bigg( {5}^{ \frac{4}{8}} \bigg)^{3} \\ \\ = \bigg( {5}^{ \frac{1}{2}} \bigg)^{3} \\ \\ = {5}^{ \frac{3}{2}} \\ \\ = \sqrt{ {5}^{3} } \\ \\ \huge\red{ \boxed{\therefore \bigg( {5}^{ \frac{3}{8}} \: . {5}^{ \frac{1}{8}} \bigg)^{3}= \sqrt{ {5}^{3} } }}$

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