Question

Simplify
$\frac{25\times 5^2\times x^8}{{10}^3\times x^5}$

• A. $\frac{5x^8}{8x^5}$
• B. $\frac{8x^8}{5x^5}$
• C. $0$
• D. None of these

Answer 1

The correct option is A $\frac{5x^8}{8x^5}$

$\frac{25\times 5^2\times x^8}{{10}^3\times x^5}$

$=\frac{5^2\times 5^2\times x^8}{2^3\times 5^3\times x^5}$

$=\frac{5^4}{2^3\times 5^3}\times \frac{x^8}{x^5}$

$=\frac{5\times x^8}{8\times x^5}$

$=\frac{5x^8}{8x^5}$