Which power of 8 is equal to 2⁶
a. 3
b. 2
c. 1
d. 4

Solution:

We have to find the power of 8 which is equal to 2⁶

2⁶ = 2 × 2 × 2 × 2 × 2 × 2

= 8 × 8

= 64

Given, 8ˣ = 2⁶

Let the power of 8 be x.

Making the bases equal,

(2³)ˣ = 2⁶

2^3x = 2⁶

Equating the exponents,

3x = 6

x = 6/3

x = 2

Now, 8² = 64

Therefore, 8² = 2⁶

✦ Try This: Which power of 4 is equal to 2⁴

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 13

NCERT Exemplar Class 7 Maths Chapter 11 Problem 22

Which power of 8 is equal to 2⁶: a. 3, b. 2, c. 1, d. 4

Summary:

The power of 8 which is equal to 2⁶ is 2.

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