3 years ago

Multiply 6 2/3 * 3 6/7

Mathematics

1 answer:

hodyreva [135]3 years ago

5 0

Answer:

180/7 or 25 5/7

Step-by-step explanation:

20/3 * 27/7

cross multiply 3 and 27, 20/1 * 9/7 is left. Then, cannot simplify anymore.

So the answer come out.

180/7 or 25 5/7

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<img src="https://tex.z-dn.net/?f=%285%5E%7B3%7D%29%5E%7B-3%7D" id="TexFormula1" title="(5^{3})^{-3}" alt="(5^{3})^{-3}" align="

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$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}$

$( { {5}^{3} })^{ - 3} \\ \\ which\:means \:that \: {5}^{3}\: is \:multiplied \:thrice\: with\: itself\\ \\ = {5}^{3 \times - 3} \\ \\ = {5}^{ - 9} \\ \\= \frac{1}{ {5}^{9} } \\ \\ = \frac{1}{5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5} \\ \\ = \frac{1}{1953125}$

<u>Note</u>:-

$( { {a}^{m} })^{n} = {a}^{m \times n}$

${a}^{ - m} = \frac{1}{ {a}^{m} }$

$\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}$

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