Simplify. Write the expression using only positive exponents.$\frac{9c^3}{c^{-4}}$9c3c−4​​The simplified expression is .

To simplify the expression $\frac{9c^3}{c^{-4}}$, follow these steps:

1. Rewrite the expression using the property of exponents: When you divide like bases, you subtract the exponents. The expression can be rewritten as: $\frac{9c^3}{c^{-4}} = 9c^{3 - (-4)}$

2. Simplify the exponent: Subtracting a negative exponent is the same as adding the positive value of that exponent: $3 - (-4) = 3 + 4 = 7$

3. Rewrite the expression with the simplified exponent: $9c^7$

Therefore, the simplified expression is $9c^7$.