Question

Simplify: $\frac{{15}^3\times 9^3\times 16}{3^4\times 5^2\times 2^3}$

Answer 1

$\frac{{15}^3\times 9^3\times 16}{3^4\times 5^2\times 2^3}$

$\Rightarrow \frac{(3\times 5{)}^3\times (3^2{)}^3\times 2^4}{3^4\times 5^2\times 2^3}$

$\Rightarrow \frac{3^3\times 5^3\times 3^6\times 2^2}{3^4\times 5^2\times 2^3}$

$\Rightarrow 3^{3+6-4}\times 5^{3-2}\times 2^{4-3}$

$\Rightarrow 3^5\times 5^1\times 2^1$

$\Rightarrow 243\times 5\times 2$

$\Rightarrow 2430$