Solve:2–2 × 2–3 – InterviewSolution

1.

Solve:2–2 × 2–3

Answer»

We know that, 2^-2= 1/2²

And 2^-3 = 1/2³

From the law of exponents , we know that a^m × aⁿ = a^(m+n)

∴ 2^-2 × 2^-3

= 1/2² × 1/2³

= 1/2³ x 2²

= 1/2³⁺²

= 1/2⁵

= 2^-5

∴ 2^-2 × 2^-3 = 2^-5

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