Simplify. \[ \frac{y}{y^{-3}} \] Write your answer with a positive exponent only. G

To simplify the expression \(\frac{y}{y^{-3}}\) and ensure all exponents are positive, follow these steps: 1. **Use the Law of Exponents**: The law of exponents states that \(\frac{y^a}{y^b} = y^{a - b}\). Applying this to your expression: \[ \frac{y}{y^{-3}} = y^{1 - (-3)} = y^{1 + 3} = y^4 \] 2. **Alternative Method - Multiplying by the Reciprocal**: Alternatively, you can rewrite the division as multiplication by the reciprocal: \[ \frac{y}{y^{-3}} = y \times y^{3} = y^{1 + 3} = y^4 \] Both methods lead to the same result. **Final Answer:** \[ y^4 \]