Simplify and write the following in exponential form.1. 23 x 252. p2�

1.	Simplify and write the following in exponential form.1. 23 x 252. p2 x P43. x6 (x) x44. 31 x 35 x 345. (-1)2 x (-1)3 x (-1)5
Answer» 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

Simplify and write the following in exponential form.1. 23 x 252. p2 x P43. x6 (x) x44. 31 x 35 x 345. (-1)2 x (-1)3 x (-1)5

Answer»

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