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12/21 Simplify: $\left(2 a^{3} b^{4} c^{3}\right)^{2} \cdot\left(4 a^{2} b c^{3}\right)$

Studdy Solution
Combine like terms using the laws of exponents:
$= (4 \cdot 4) \cdot (a^{6} \cdot a^{2}) \cdot (b^{8} \cdot b) \cdot (c^{6} \cdot c^{3})$
Calculate each part:
$= 16 \cdot a^{8} \cdot b^{9} \cdot c^{9}$
The simplified expression is:
$\boxed{16 a^{8} b^{9} c^{9}}$