Question

Express the following in exponential form. 

1. 6 x 6 x 6 x 6 

2. t x t

3. 5 x 5 x 7 x 7 x 7 

4. 2 x 2 x a x a

Answer 1

1. 6 x 6 x 6 x 6 = 6^1+1+1+1 

= 64 

[Since a^m x aⁿ = a^m+n]

2. t x t = t¹⁺¹ 

= t²

3. 5 x 5 x 7 x 7 x 7 = 5¹⁺¹ x 7¹⁺¹⁺¹ 

= 5² x 7³

4. 2 x 2 x a x a = 2¹⁺¹ x a¹⁺¹ 

= 2² x a² 

= (2a)²