Question

Simplify: [5 a⁵ b² × 3(a b³)²]/ (15 a² b).

Answer 1

[5 a⁵ b² × 3(a b³)²]/ (15 a² b)

Using the formula (a^m)ⁿ = a^mn, we have;

= [(5 × 3) × (a⁵ b²) × a² b⁶]/ (15 a² b)

= (15 a⁵⁺² b²⁺⁶)/ (15 a² b)

= (a⁷ b⁸)/(a² b)

= a^7-2 b^8-1

= a⁵ b⁷

Therefore, [5 a⁵ b² × 3(a b³)²]/ (15 a² b) = a⁵ b⁷.