4 times the square root of 7 to the third power in exponential form

Do you mean 4 * sqrt (7 * 7 * 7) ?

If that is what you mean, it can be broken apart like this 4 * sqrt (7 * 7) * sqrt (7)

You can always do something like that. The square root of 7*7 is 7

Try it with your calculator. Put in √ (7 * 7) = you should get 7.

So the answer is 4 * 7 * sqrt (7) = 28 * sqrt (7)