Question

Simplify: $\frac{6^8\times 5^3}{{10}^3\times 3^4}$

Answer 1

Let $a=\frac{6^8\times 5^3}{{10}^3\times 3^4}=\frac{2^8\times 3^8\times 5^3}{2^3\times 5^3\times 3^4}$

$=2^5\times 3^4$

$a=32\times 81=2592$.

$\therefore \frac{6^8\times 5^3}{{10}^3\times 3^4}=\frac{2^8\times 3^8\times 5^3}{2^3\times 5^3\times 3^4}=2592$