Question

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

Answer 1

Given expression $\frac{(25\times 5^2\times t^8)}{({10}^3\times t^4)}$
$=\frac{(5^2\times 5^2\times t^8)}{(5^3\times 2^3\times t^4)}$
$=\frac{(5^4\times t^8)}{(5^3\times 2^3\times t^4)}$
$=\frac{(5^{(4-3)}\times t^{(8-4)})}{\left(2^3\right)}$
$=\frac{(5\times t^4)}{\left(2^3\right)}$
$=\frac{(5\times t^4)}{8}$
Therefore, the simplified value of the given expression is $\frac{(5\times t^4)}{8}$