Question

(1 point)
simplify. do not leave negative exponents in your ans
$(a^{4})^{-4}=$
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Explanation:

Step1: Apply power - of - a - power rule

The power - of - a - power rule states that \((a^{m})^{n}=a^{m\times n}\). For \((a^{4})^{-4}\), we have \(m = 4\) and \(n=-4\). So, \((a^{4})^{-4}=a^{4\times(-4)}\).

$$a^{4\times(-4)}=a^{-16}$$

Step2: Eliminate the negative exponent

Using the rule \(a^{-n}=\frac{1}{a^{n}}\) (where \(n = 16\) in this case), we can rewrite \(a^{-16}\) as \(\frac{1}{a^{16}}\).

Answer:

\(\frac{1}{a^{16}}\)