Q. 147.

Simplify the expression ${(8 a^{3})}^{2} {(2 a)}^{4}$ .

Verified

Answer

The simplified form of the given expression is $1024 a^{10}$ .

1Step 1. Given information.

The given expression is ${(8 a^{3})}^{2} {(2 a)}^{4}$ .

2Step 2. Using the power of product property,

{(8 a^{3})}^{2} {(2 a)}^{4} = {(8)}^{2} {(a^{3})}^{2} {(2)}^{4} {(a)}^{4} = 64 \times a^{6} \times 16 \times a^{4} u s e p r o d u c t p r o p e r t y, = 1024 a^{10}