Question

Find m if:




Who will answer the question properly i will mark as brainliest










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Answer 1

solved. ..hope it helps u

Answer 2

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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