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  • Complete JEE Main/Advanced Course and Test Series
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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:


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