If 2 m -1- 25-4-2- the value of m isA- -4B- -6C- -8D- -10

The correct option is D 10 Given, (2)^m+1× 2^5= 4^ 2 ⇒ (2)^m+1× 2^5 = ((2)^2)^ 2 ⇒ (2)^m+1+5 = (2)^ 4 Since the bases on both the sides are equal, therefor ...

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Byju's Answer

Standard VII

Mathematics

Product Law of Exponent

If 2 m +1× 25...

Question

If $(2)^{m + 1} \times 2^{5} = 4^{- 2}$ , the value of $m$ is

-10

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-6

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-8

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-10

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Solution

The correct option is D
-10

Given, $(2)^{m + 1} \times 2^{5} = 4^{- 2}$
$\Rightarrow$ $(2)^{m + 1} \times 2^{5} = {((2)^{2})}^{- 2}$
$\Rightarrow$ $(2)^{m + 1 + 5} = (2)^{- 4}$
Since the bases on both the sides are equal, therefore the exponents must also be equal. This means, $m + 1 + 5 = - 4$ , or $m = - 10$ .

Suggest Corrections

If (2)m+1×25=4−2, the value of m is

The correct option is D -10 Given, (2)m+1×25=4−2 ⇒ (2)m+1×25=((2)2)−2 ⇒ (2)m+1+5=(2)−4 Since the bases on both the sides are equal, therefore the exponents must also be equal. This means, m+1+5=−4, or m=−10.

If $(2)^{m + 1} \times 2^{5} = 4^{- 2}$ , the value of $m$ is