Chapter 6: Exponents Exercise – 6.2

Question: 1

Using laws of exponents, simplify and write the answer in exponential form

(i) 2³ × 2⁴ × 2⁵

(ii) 5¹² ÷ 5³

(iii) (7²)³

(iv) (3²)⁵ ÷ 3⁴

(v) 3⁷ × 2⁷

(vi) (5²¹ ÷ 5¹³) × 5⁷

Solution:

 

Question: 2

Simplify and express each of the following in exponential form

(i) ((2³)⁴ × 28) ÷ 212

(ii) (8² × 8⁴) ÷ 8³

(iii) (5⁷/5²) × 5³

Solution:

 

Question: 3

Simplify and express each of the following in exponential form

Solution:

 

Question: 4

Write 9 × 9 × 9 × 9 × 9 in exponential form with base 3

Solution:

9 × 9 × 9 × 9 × 9 = (9)⁵ = (3²)⁵

= 3¹⁰

 

Question: 5

Simplify and write each of the following in exponential form

Solution:

 

Question: 6

Simplify

Solution:

 

Question: 7

Find the values of n in each of the following

Solution:

 

Question: 8

Solution: