Math, asked by UB12345678, 5 hours ago

By what number should (-12)^-1 be divided so that quotient may be (2/3)^-1

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Answered by IimperiaPink
74

Answer:

Solution :-

Let, the required number be X.

Then,  \mathtt{ \pink{( - 12) ^{1}  \div x } \blue{= } \pink{( \frac{2}{3} ) ^{2} }}

 \red{\implies } \frac{( - 12) ^{1} }{x}  = ( \frac{2}{3} ) ^{ - 1}

\red{\implies } x = ( - 12) ^{ - 1}  \div ( \frac{2}{3} ) ^{ - 1}

\red{\implies } x =  \frac{1}{ - 12}  \div ( \frac{3}{2})

\red{\implies } x =  \frac{1}{ - 12} \times  \frac{2}{3}   =  \red{ \frac{1}{ - 18} } =   \large \underline{{\green{   \frac{ - 1}{18}}  } }

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Answered by yuvikamd18
0

Answer:

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