Question

$\text{Simplify:}\frac{2^2\times 3^2\times 4^3}{2^4\times 3}$

• A. 38
• B. 48
• C. 36
• D. 46

Answer 1

The correct option is B 48

$\frac{2^2\times 3^2\times 4^3}{2^4\times 3}$

$⟹\frac{2^2\times 3^2\times (2^2{)}^3}{2^4\times 3}$

$⟹\frac{2^2\times 3^2\times 2^6}{2^4\times 3}$

$⟹\frac{2^8\times 3^2}{2^4\times 3}$

$⟹2^{8-4}\times 3^{2-1}$

$⟹2^4\times 3$

$⟹16\times 3$

$⟹48$