Find the value of n so that 2ⁿ × 2⁶ / 2⁻³ = 2¹⁸.

Solution:

Given, 2ⁿ × 2⁶ / 2⁻³ = 2¹⁸.

We have to find the value of n.

On cross multiplication,

2ⁿ × 2⁶ = 2¹⁸ × 2⁻³

Using law of exponents,

a^m × aⁿ = a^{m + n}

2^{n + 6} = 2^{18 - 3}

2^{n + 6} = 2¹⁵

Now, n + 6 = 15

n = 15 - 6

n = 9

Therefore, the value of n is 9.

✦ Try This: Find the value of n so that 3ⁿ × 3⁷ / 3⁻³ = 3⁸.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 12

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NCERT Exemplar Class 8 Maths Chapter 8 Problem 119

Find the value of n so that 2ⁿ × 2⁶ / 2⁻³ = 2¹⁸.

Summary:

The value of n so that 2ⁿ × 2⁶ / 2⁻³ = 2¹⁸ is 9 using the law of exponents a^m × aⁿ = a^{m + n}

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☛ Related Questions:

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