simplify the following, giving your answer with a positive exponent:

15x^4/5x^-3

To simplify 15x^4/5x^-3, we can use the rule of exponents that states: a^m / a^n = a^(m - n).

In this case, we have 15x^4 / 5x^-3.

Using the rule of exponents, we subtract the exponents:

4 - (-3) = 4 + 3 = 7.

The numerator stays the same, and the denominator becomes x^7.

Therefore, the simplified expression with positive exponent is:

(15x^4) / (5x^-3) = 3x^7.