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If (-7) power -1 is multiplied by a number, the product obtained is (6/7)power -1 .what is the number

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ANSWER:

{( - 7)}^{ - 1} \times x = {( \frac{6}{7} })^{ - 1} \\ \frac{1}{ {( - 7)}^{1} } \times x = { (\frac{7}{6}) }^{1} \\ \frac{1}{7} \times x = \frac{7}{6} \\ x = \frac{7}{6} \div \frac{1}{7} \\ x = \frac{7}{6} \times 7 \\ \large{ \boxed{x = \underline{ \underline{\frac{49}{6} }}}} \\ \\ {( - 7)}^{ - 1} \times x = {( \frac{6}{7} })^{ - 1} \\ \frac{1}{ {( - 7)}^{1} } \times x = { (\frac{7}{6}) }^{1} \\ \frac{1}{7} \times x = \frac{7}{6} \\ \frac{1}{7} \times \frac{49}{6} = \frac{7}{6} \\ \large{ \boxed{ \underline{ \underline{ \frac{7}{6} = \frac{7}{6} }}}}


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