Question

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

Answer 1

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

     $a^{m} X a^{n} = a^{m+n}$

     $(a^{m} )^{n} = a^{mn}$

   =  (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