Find your Math Personality!

Find your Math Personality!

# Evaluate: (i) 3^{-2 }(ii) (-4)^{-2 }(iii) (1/2)^{-5}

**Solution:**

The exponent of a number shows how many times the number is multiplied by itself.

(i) 3^{-2}

According to the rules of exponents,

We know that a^{-m} = 1 / a^{m }for any non-zero integer

3^{-2} = 1 / 3^{2} = 1/9

(ii) (-4)^{-2}

We know that, a^{-m} = 1 / a^{m }for any non-zero integer

(-4)^{-2 } = 1 / (-4)^{-2 }

= 1 / (-4 × -4)

= 1 / 16

(iii) (1/5)^{-5}

We know that, a^{-m} = 1 / a^{m }for any non-zero integer

(1/5)^{-5 }= 2^{5 }= 2 × 2 × 2 × 2 × 2 = 32

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

**Video Solution:**

## Evaluate (i) 3⁻²^{ }(ii) (4)⁻²^{ }(iii) (1/2)⁻⁵

Class 8 Maths NCERT Solutions Chapter 12 Exercise 12.1 Question 1

**Summary:**

The value of the following are (i) 3^{-2 }= 1/9, (ii) (-4)^{-2 }= 1 / 16 and (iii) (1/5)^{-5 }= 32

**☛ Related Questions:**

- Simplify and express the result in power notation with positive exponent. (i) (−4) 5 ÷ (−4) 8 (ii) (1 / 23) 2 (iii) (−3) 4 × (5/3) 4 (iv) (3 -7 ÷ 3 -10) × 3 -5 (v) 2 -3 × (−7) -3
- Find the value of (i) (30 × 4−1) × 22 (ii) (2−1 × 4−1) ÷ 2−2 (iii) (1/2)−2 + (1/3)−2 + (1/4)−2 (iv) (3−1 +4−1 + 5−1)0 (v) {(−2/3)−2}2
- Evaluate (i) (8−1× 53)/2−4 (ii) (5−1× 2−1)×6−1
- Find the value of m for which (5m ÷ 5−3) = 55

Math worksheets and

visual curriculum

visual curriculum