Question

If (-2)m+1 × (-2)4 = (-2)6 then value of m =

Answer 1

SOLUTION

GIVEN

$\sf{ {( - 2)}^{m + 1} \times {( - 2)}^{4} = {( - 2)}^{6} }$

TO DETERMINE

The value of m

EVALUATION

Here the given equation is

$\sf{ {( - 2)}^{m + 1} \times {( - 2)}^{4} = {( - 2)}^{6} }$

We now solve for m as below

$\sf{ {( - 2)}^{m + 1} \times {( - 2)}^{4} = {( - 2)}^{6} }$

$\sf{ \implies \: {( - 2)}^{m + 1 + 4} = {( - 2)}^{6} }$

$\sf{ \implies \: {( - 2)}^{m + 5} = {( - 2)}^{6} }$

$\sf{ \implies \: m + 5 = 6}$

$\sf{ \implies \: m = 6 - 5}$

$\sf{ \implies \: m = 1}$

FINAL ANSWER

Hence the required value of m = 1

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Answer 2

Answer:

m=1

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