Question

evaluate and find "m". see the attachment for viewing the ques.... plz help me!​

Answer 1

Given,

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• ${7}^{2m} \times {7}^{2} = {7}^{5}$

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To Find,

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• The value of 'x'.

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Solution,

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As given,

$:\longrightarrow {7}^{2m} \times {7}^{2} = {7}^{5}$

As we know,

• $\boxed{ {x}^{a} \times {x}^{b} = {x}^{(a + b)} }$

It can be applied as,

$:\longrightarrow {7}^{2m + 2} = {7}^{5}$

Comparing both sides,

$:\longrightarrow {2m + 2} = {5} \\ \\ :\longrightarrow 2m = 5 - 2 \\ \\ :\longrightarrow 2m = 3 \\ \\ :\longrightarrow \boxed{ m = \frac{3}{2} }$

Therefore,

• The value of 'm' is 3/2.

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Required Answer,

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• The value of 'm' is 3/2.