Doub in math

Dear Student,

assuming, 25 in nominators and  x in Denominator part.
Question is

$$\begin{gathered} \frac{16x25x{5}^{2}x{t}^8}{{10}^{3}x{t}^4} \\ =\frac{2x2x2x2\times 5x5\times 5^2\times t^8}{{\left(2x5\right)}^3 x t^4} \\ =\frac{2^{4}x{5}^{2}x{5}^{2}x t^8}{2^3 x 5^3 x t^4} \\ =2^{(4-3)} x 5^{(2+2-3)} x t^{(8-4)} \\ =2^1 x 5^1 x t^4 \\ =10t^4 \end{gathered}$$ 


(axb)^m =a^m x b^m

a^m x aⁿ = a^m+n

a^m / aⁿ =a^m-n



Regards