Express 16⁻² as a power with the base 2.

Solution:

Given, the expression is 16⁻².

We have to express the given expression as a power with base 2.

Using law of exponents,

a⁻ⁿ = 1/aⁿ

16 can be written as 2⁴.

So, 16⁻² = (2⁴)⁻²

Using law of exponents,

(a^m)ⁿ = a^mn

So, (2⁴)⁻² = 2⁻⁸

Therefore, 16⁻² = 2⁻⁸.

✦ Try This: Express 8⁻² as a power with the base 2.

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

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NCERT Exemplar Class 8 Maths Chapter 8 Problem 93

Express 16⁻² as a power with the base 2.

Summary:

On expressing 16⁻² as a power with the base 2, we get 2⁻⁸ using the law of exponents (a^m)ⁿ = a^mn

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☛ Related Questions:

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