Question

Simplify:
$\frac{25\times t^{-4}}{5^{-3}\times 10\times t^{-8}}(t\ne o)$

Answer 1

Consider the given expression,

$\Rightarrow \frac{25\times t^{-4}}{5^{-3}\times 10\times t^{-8}}(t\ne 0)$

$\Rightarrow \frac{25\times \left(\frac{1}{t^4}\right)}{\frac{1}{5^3}\times 10\times \frac{1}{t^8}}$

$\Rightarrow \frac{25\times 5^3\times t^8}{10\times t^4}$

$\Rightarrow \frac{25\times 5^2\times t^{8-4}}{2}$

$\Rightarrow \frac{625}{2}{t}^4$

$\Rightarrow 312.5t^4$

Hence, this is the answer.