Question

Simplify and write the following in exponential form.

1. 2³ x 2⁵

2. p² x P⁴

3. x⁶ (x) x⁴

4. 3¹ x 3⁵ x 3⁴

5. (-1)² x (-1)³ x (-1)⁵

Answer 1

1. 2³ x 2⁵ = 2³⁺⁵ 

= 2⁸ 

[since a^m x aⁿ = a^m+n]

2. p² x p⁴ = p²⁺⁴ 

= p⁶ 

[since a^m x aⁿ = a^m+n]

3. x⁶ x x⁴ = x⁶ + 4 

= x¹⁰ 

[since a^m x aⁿ = a^m+n]

4. 3¹ x 3⁵ x 3⁴ = 3¹⁺⁵ x 3⁴ 

[since a^m x aⁿ = a^m+n]

= 3⁶ x 3⁴ 

[since a^m x aⁿ = a^m+n]

= 3¹⁰

5. (-1)² x (-1)³ x (-1)⁵

= (-1)²⁺³ x (-1)⁵ 

[Since a^m x aⁿ = a^m+n]

= (-1)⁵ x (-1)⁵

= (-1)⁵⁺⁵ 

[Since a^m x aⁿ = a^m+n]

= (-1)¹⁰