Solve the following: 2⁻² × 2⁻³

Solution:

Given, the expression is 2⁻² × 2⁻³

We have to solve the expression.

Using law of exponents,

a^m × aⁿ = a^{m + n}

From the given expression,

a = 2

m = -2

n = -3

So, m + n = -2 + (-3)

= -2 - 3

= -5

Therefore, 2⁻² × 2⁻³ = 2⁻⁵.

✦ Try This: Solve the following: 4⁻² × 4⁻³

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

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NCERT Exemplar Class 8 Maths Chapter 8 Problem 91(ii)

Solve the following: 2⁻² × 2⁻³

Summary:

On solving 2⁻² × 2⁻³ we get 2⁻⁵ using the law of exponents a^m × aⁿ = a^{m + n}

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