Question

Question 85 (b)

Evaluate
$\frac{5^4\times 7^4\times 2^7}{8\times 49\times 5^3}$

Answer 1

We have $\frac{5^4\times 7^4\times 2^7}{8\times 49\times 5^3}=\frac{5^4\times 7^4\times 2^7}{2^3\times 7^2\times 5^3}=\left(\frac{5^4}{5^3}\right)\times \left(\frac{2^7}{2^3}\right)\times \left(\frac{7^4}{7^2}\right)=5^{4-3}\times 2^{7-3}\times 7^{4-2}=5\times 2^4\times 7^2=5\times 16\times 49=3920$