Question

Simplify: $\frac{25\times 5^2\times t^8}{{10}^3\times t^4}$

Answer 1

$\frac{25\times 5^2\times t^8}{{10}^3\times t^4}$
$=\frac{5^2\times 5^2\times t^8}{(5\times 2{)}^3\times t^4}$
$=\frac{5^{(2+2)}\times t^{(8-4)}}{2^3\times 5^3}$
$=\frac{5^4\times t^4}{2^3\times 5^3}$
$=\frac{5^{4-3}\times t^4}{2^3}$
$=\frac{5t^4}{8}$