Answer:
(4x²y³)² 8 x⁴y⁵ 8 x⁴ y⁶ 16 x⁴ y ⁵ 16 x⁴ y⁶ = 262,144 x²⁰ y²⁸
Step-by-step explanation:
Given
(4x²y³)² 8 x⁴y⁵ 8 x⁴ y⁶ 16 x⁴ y ⁵ 16 x⁴ y⁶
we know that
[tex]a^{m} X a^{n} = a^{m+n}[/tex]
[tex](a^{m} )^{n} = a^{mn}[/tex]
= (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
