Question

Question 85 (d)

Evaluate
$\frac{3^4\times {12}^3\times 36}{2^5\times 6^3}$

Answer 1

We have
$\frac{3^4\times {12}^3\times 36}{2^5\times 6^3}=\frac{3^4\times (2^2\times 3{)}^3\times 6^2}{2^5\times 6^3}=\frac{3^4\times 2^6\times 3^3\times 6^2}{2^5\times 6^3}=\frac{3^9\times 2^6\times 6^2}{2^5\times 6^3}=3^9\times 2^{6-5}\times 6^{2-3}=\frac{3^9\times 2}{2\times 3}=3^8=6561$