Multiplying powers with the same base is simply adding their exponents/powers. For example,
[tex]5^3\times5^6=5^{3+6}=5^9^{}^{}[/tex]On the other hand, multiplying the same exponent but different bases is another story. For instance,
[tex]5^2\times2^2[/tex]To solve this one, we multiply first the two bases and the result will be raise to the given common exponent.
[tex](5\times2)^2=(10)^2[/tex]