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Alborosie
2 years ago
5

Provide a clear answer while explaining how to do each step to the question below:

Mathematics
1 answer:
likoan [24]2 years ago
7 0

\bf ~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \sqrt[3]{8x^5y^7} \\\\[-0.35em] ~\dotfill\\\\ \sqrt[3]{8x^5y^7}\implies \sqrt[3]{2^3x^5y^7}\implies \left( 2^3x^5y^7 \right)^{\frac{1}{3}}\implies 2^{3\cdot \frac{1}{3}}x^{5\cdot \frac{1}{3}}y^{7\cdot \frac{1}{3}}\implies 2x^{\frac{5}{3}}y^{\frac{7}{3}}

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Step-by-step explanation:

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The base of a rectangular prism is 5.4 centimeters long and 4.9 centimeters wide. It is 3.8 centimeters tall. What is the volume
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So, We Need To Examine The Problem. So, We Know That We Need To Find The Volume Of A Rectangular Prism. We Also Know That The Dimensions Are 4.9 • 3.8 • 5.4.
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So, we need to plug in the known values.
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V = 100.548cm²
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