You would multiply the bases and keep the exponent the same.
For example let's say you had 5³*7³. (5 and 7 are bases, 3 is the exponent)
If we break it down we can see what this problem is essentially saying.
5*5*5*7*7*7
Then, we can group the fives and the sevens since we have the same amount of each (due to having the same exponent).
(5*7)(5*7)(5*7)
Now, we can simplify this because it is a repeating pattern with equal amounts of each numbers.
(5*7)³
Next, solve inside the parenthesis.
(35)³
You can leave the answer like this, or solve to get 42,875.
This can be checked by expanding it and solving.
5³*7³
↓
5*5*5 = 125 and 7*7*7 = 343
↓
125*343 = 42,875