Question

Simplify: (4x2y3)2 8x4y5 8x4y6 16x4y5 16x4y6

Answer 1

(4x²y³)² 8 x⁴y⁵ 8 x⁴ y⁶ 16 x⁴ y ⁵ 16 x⁴ y⁶ = 262,144 x²⁰ y²⁸

Explanation:

Given

(4x²y³)² 8 x⁴y⁵ 8 x⁴ y⁶ 16 x⁴ y ⁵ 16 x⁴ y⁶

we know that

`a^(m) X a^(n) = a^(m+n)`

`(a^(m) )^(n) = a^(mn)`

= (16x⁴y⁶ 8 x⁴y⁵ 8 x⁴ y⁶ 16 x⁴ y ⁵ 16 x⁴ y⁶

= 16 ×8×8×16×16 x⁴⁺⁴⁺⁴⁺⁴⁺⁴ y⁵⁺⁶⁺⁵⁺⁶⁺⁶

= 262,144 x²⁰ y²⁸