Question

simplify. express your answer using a single exponent.
$(y^{-1})^{-4}$

Explanation:

Step1: Recall exponent power rule

When raising a power to a power, we multiply the exponents. The formula is \((a^m)^n = a^{m\times n}\). Here, \(a = y\), \(m=-1\), and \(n = - 4\).

Step2: Apply the power rule

For \((y^{-1})^{-4}\), we multiply the exponents \(-1\) and \(-4\). So, \((y^{-1})^{-4}=y^{(-1)\times(-4)}\)

Step3: Calculate the exponent

\((-1)\times(-4) = 4\), so \(y^{(-1)\times(-4)}=y^{4}\)

Answer:

\(y^{4}\)