hi this is my question:
(5^3)^2 X 25^2
i have no idea how to do this
Do you want to solve $\displaystyle (5^3)^2 \times 25^2$ and get a numeric solution?
$\displaystyle (5^3)^2 = 5^{3\times 2} = 5^6$
Also note that $\displaystyle 25 = 5^2$, this means that $\displaystyle 25^2 = (5^2)^2 = 5^4$.
Following through with what I've done above, can you get $\displaystyle (5^3)^2 \times 25^2$ in terms of $\displaystyle 5^n$, where $\displaystyle n$ is just an integer (whole number) ?
Use what I said above to get $\displaystyle 25^3$ in terms of $\displaystyle 5^n$.
Also notice that $\displaystyle 5^n \times 5^m = 5^{n+m}$.
This also applies for division, $\displaystyle \frac{5^n}{5^m} = 5^{n-m}$.
Another thing, do not just post questions and hope for the answer, show us your working so far and where you have got stuck, then we can help you.