Question

find the value of (5 raised to power -1 multiply 2 raised to power -1) divide by 6 raised to power -1​

Answer 1

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Answer 2

Here is your answer

$\frac{ {5}^{ - 1} \times {2}^{ - 1} }{ {6}^{ - 1} } = \frac{( {5 \times 2})^{ - 1} }{ {6}^{ - 1} } = \frac{ {10}^{ - 1} }{ {6}^{ - 1} }$

So now, we have

${( \frac{10}{6} })^{ - 1} = \frac{6}{10}$

We used the following laws of exponents to solve this question

${a}^{m} \times {b}^{m} = ({ab})^{m}$

And

${( \frac{a}{b} })^{ - m} = {( \frac{b}{a} })^{m}$

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