The expression for 8⁻² as a power with the base 2 is _________. Fill in the blank to make the statement true.

Solution:

Given, the expression for 8⁻² as a power with the base 2 is _________.

8 can be written as 2 × 2 × 2

So, 8 = 2³

Now, 8⁻² = (2³)⁻²

Using the law of exponents,

(a^m)ⁿ = a^mn

Considering (2³)⁻²

m = 3

n = 2

mn = 3(-2) = -6

So, (2³)⁻² = 2⁻⁶

Therefore, the required value is 2⁻⁶.

✦ Try This: The expression for 16⁻² as a power with the base 2 is _________. Fill in the blank to make the statement true.

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

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NCERT Exemplar Class 8 Maths Chapter 8 Problem 39

The expression for 8⁻² as a power with the base 2 is _________. Fill in the blank to make the statement true.

Summary:

The expression for 8⁻² as a power with the base 2 is 2⁻⁶ makes the statement true.

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☛ Related Questions:

• Very small numbers can be expressed in standard form by using _________ exponents. Fill in the blank . . . .
• Very large numbers can be expressed in standard form by using _________ exponents. Fill in the blank . . . .
• By multiplying (10)⁵ by (10)⁻¹⁰ we get ________. Fill in the blank to make the statement true