Question

Question 85 (g)

Evaluate
$\frac{6^4\times 9^2\times {25}^3}{3^2\times 4^2\times {15}^6}$

Answer 1

We have,
$\frac{6^4\times 9^2\times {25}^3}{3^2\times 4^2\times {15}^6}=\frac{(2\times 3{)}^4\times (3^2{)}^2\times (5^2{)}^3}{3^2\times (2^2{)}^2\times (3\times 5{)}^6}=\frac{2^4\times 3^4\times 3^4\times 5^6}{3^2\times 2^4\times 3^6\times 5^6}=2^{4-4}\times 3^{4+4-2-6}\times 5^{6-6}=2^0\times 3^0\times 5^0=1\times 1\times 1=1$