Solved Questions

Example 1: Write 7 x 7 x 7 x 7 x 7 x 7 x 7 x 7 in exponent form.

Solution:

In this problem 7s are written 8 times, so the problem can be rewritten as an exponent of 8.

7 x 7 x 7 x 7 x 7 x 7 x 7 x 7 = 7⁸.

Example 2: Write below problems like exponents:

1. 3 x 3 x 3 x 3 x 3 x 3
2. 7 x 7 x 7 x 7 x 7
3. 10 x 10 x 10 x 10 x 10 x 10 x 10

Solution: 

1. 3 x 3 x 3 x 3 x 3 x 3 = 3⁶
2. 7 x 7 x 7 x 7 x 7 = 7⁵
3. 10 x 10 x 10 x 10 x 10 x 10 x 10 = 10⁷ 

Example 3: Simplify 25³/5³ 

Solution: 

 Using Law: a^m/b^m = (a/b)^m

25³/5³  can be written as (25/5)³  = 5³ = 125.