Simplify:(25 ÷ 28) × 2–7 – InterviewSolution

1.

Simplify:(25 ÷ 28) × 2–7

Answer»

From the laws of exponents , we know that

a^m × aⁿ = a^(m+n)

And , a^m ÷ aⁿ = a^(m-n)

So ,we have , (2⁵ ÷ 2⁸) = 2^(5-8)= 2^-3

Now , 2^-3 × 2^–7= 2^(-3)+(-7)= 2^-10

∴ (2⁵ ÷ 2⁸) × 2^–7= 2^-10 = 1/2¹⁰ = 1/1024

∴ (2⁵ ÷ 2⁸) × 2^–7 = 1/1024

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