5^10/5^3 rewrite in the form of 5^n

5^7

Step-by-step explanation:

To rewrite the expression, you use the laws of exponents.

Using the law of exponents of division, you subtract the exponent of the smaller value (5^3) from the larger value (5^10).

Your expression would now be this:

5^10-3

Since the bases have the same value (5), they remain the same.

As a result of 5^10-3, you would get 5^7 as your answer.

To check that both are equivalent to each other you solve and find the values of both expressions.

5^7=78125

5^10/5^3=78125

5^7=5^10/5^3