Math, asked by smartboy100, 1 year ago

Find m if:




Who will answer the question properly i will mark as brainliest










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Answers

Answered by siddu5494
0

solved. ..hope it helps u

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smartboy100: this is wrong answer
siddu5494: sry m=4 nt 2
smartboy100: the process in wrong
Answered by Brainlyconquerer
4

Answer:

\boxed{\bf{\sf{M = -4}}}

Step-by-step explanation:

By using basic rules of exponents(surds & indices):-

\implies{\sf{{(a)}^{m}  \times  {(a)}^{n}  =  {(a)}^{m + n}}}  \\  \\

Now solve as follows

 \bf{\implies{\sf{{ (\frac{ - 1}{4} )}^{3m}  \times  {( \frac{ - 1}{4}) }^{2}  =  {( \frac{ - 1}{4}) }^{m - 6}}}}  \\  \\  \implies{\sf{{( \frac{ - 1}{4} )}^{3m + 2}  =  {( \frac{ - 1}{4}) }^{m - 6}}}  \\  \\ \implies{\sf{ {( \cancel{\frac{ - 1}{4} )}}^{3m + 2}  =  {( \cancel{\frac{ - 1}{4})} }^{m - 6} }} \\  \\

Now, Cancels the base as both are same and equate its exponents(powers)

\bf{\implies{\sf{ 3m + 2 = m - 6 }}}

\bf{\implies{\sf{ 3m - m = -6 - 2  }}}

\bf{\implies{\sf{ 2m = - 8  }}}

\boxed{\bf{\implies{\sf{ m = - 4  }}}}

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