Solve the following: (1/2)⁻² ÷ (1/2)⁻³

Solution:

Given, the expression is (1/2)⁻² × (1/2)⁻³

We have to solve the expression.

Using law of exponents,

a^m ÷ aⁿ = a^{m - n}

From the given expression,

a = (1/2)

m = -2

n = -3

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

= -2 + 3

= 1

Therefore, (1/2)⁻² ÷ (1/2)⁻³ = 1/2.

✦ 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(iii)

Solve the following: (1/2)⁻² ÷ (1/2)⁻³

Summary:

On solving (1/2)⁻² ÷ (1/2)⁻³ we get 1/2 using the law of exponents a^m ÷ aⁿ = a^{m - n}

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