Questions: Simplify. [ (y^-2)^4 ] Write your answer without using negative exponents.

Solution Steps

To simplify the expression \((y^{-2})^4\) and write the answer without using negative exponents, we can use the power of a power property of exponents, which states that \((a^m)^n = a^{m \cdot n}\). Applying this property will allow us to simplify the expression and eliminate the negative exponent.

We start with the expression \((y^{-2})^4\). Using the power of a power property, we can simplify this as follows: \[ (y^{-2})^4 = y^{-2 \cdot 4} = y^{-8} \]

To express \(y^{-8}\) without a negative exponent, we rewrite it as: \[ y^{-8} = \frac{1}{y^8} \]

Final Answer