16 × 10² × 64/2⁴ × 4²

Solution:

Given, 16 × 10² × 64/2⁴ × 4²

We have to find the value of the given expression.

We know, 16 = 2⁴

Also, 64 = 4³

Now, 16 × 10² × 64/2⁴ × 4² = 2⁴ × 10² × 4³/2⁴ × 4²

= 10² × 4³/4²

a^m ÷ aⁿ = a^{m - n}

= 10² × 4^{3 - 2}

= 100 × 4

= 400

Therefore, 16 × 10² × 64/2⁴ × 4² = 400.

✦ Try This: 32 × 10² × 16/2⁵ × 4²

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

NCERT Exemplar Class 8 Maths Chapter 8 Problem 121

Summary:

16 × 10² × 64/2⁴ × 4² = 400 using the law of exponents a^m ÷ aⁿ = a^{m - n}

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