Question

simplify 25×t^-4/5^-3×10×t^-8​

Answer 1

Refer The attachment ⬆

****

Follow Me

Answer 2

Answer:

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

Explanation:

______________________

We know the Exponential laws:

i)$\frac{a^{m}}{a^{n}}=a^{m-n}$

ii)$a^{-n}=\frac{1}{a^{n}}$

_______________________

Now ,

Simplification of

$\frac{25t^{-4}}{5^{-3}\times10\times t^{-8}}$

= $\frac{5^{2}\times t^{-4}}{5^{-3}\times2 \times 5^{1}\times t^{-8}}$

=$\frac{5^{2+3-1}\times t^{-4+8}}{2}$

= $\frac{5^{4}\times t^{4}}{2}$

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

Therefore,

$\frac{25t^{-4}}{5^{-3}\times10\times t^{-8}}$ = $\frac{625t^{4}}{2}$