Question

2¹¹ ÷ 2 raise to 5= 2-³ × 2 raise to 2m-1. find m​

Answer 1

Given:

2^11÷ 2^5=2^-3*2^2m-1

To Find:

The value of m

Solution:

2^11÷ 2^5=2^-3*2^2m-1

As we know when base is in divide then power will subtract and when base is in multiple then power will add.

•2^11-5=2^-3+2m-1

•2^6=2^3+2m-1

•6=-3+2m-1

•6+3=2m-1

•9=2m-1

•9+1=2m

•10=2m

•m=5

Hence,The value of m is 5.

Answer 2

Given Equation:-

• 2¹¹ ÷ 2⁵ = 2⁻³ × 2²m - 1

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To Find:-

• Value of m.

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Solution:-

★ In this question we have given an equation. We have to find out the value of m. Let's do it.

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According to the question,

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⇢ 2¹¹ ÷ 2⁵ = 2⁻³ × 2²m - 1

⇢ 2¹¹ - 5 = 2⁻³ + 2m - 1

⇢ 2⁶ = 2³ + 2m - 1

⇢ 6 = -3 + 2m - 1

⇢ 6 + 3 = 2m - 1

⇢ 9 = 2m - 1

⇢ 9 + 1 = 2m

⇢ 10 = 2m

⇢ m = 5

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Hence,

• The value of m is 5.