Fill in the blanks

Solution:

We have to fill in the blanks.

Considering 144 × 2⁻³,

Using law of exponents,

a⁻ⁿ = 1/aⁿ

2⁻³ = 1/2³

So, 144 × 2⁻³ = 144/2³

We know, 2³ = 8

= 144/8

144 × 2⁻³ = 18

Considering 18 × 12⁻¹,

Using law of exponents,

a⁻ⁿ = 1/aⁿ

12⁻¹ = 1/12

18 × 12⁻¹ = 18/12

= 9/6

18 × 12⁻¹ = 3/2

Considering 3/2 × 3⁻²,

3⁻² = 1/3²

We know, 3² = 9

3/2 × 3⁻² = 3/2 × 1/9

= 1/2 × 1/3

3/2 × 3⁻² = 1/6

✦ Try This: Use the properties of exponents to verify that each statement is true. 49(7ⁿ⁻²) = 7ⁿ

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

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NCERT Exemplar Class 8 Maths Chapter 8 Problem 144

144 × 2⁻³ = ___ × 12⁻¹ = ____ × 3⁻² = ____

Summary:

144 × 2⁻³ = 18 × 12⁻¹ = 3/2 × 3⁻² = 1/6 using the law of exponents

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