Question

rewrite the following without an exponent.
$2^{-4}$

Explanation:

Step1: Recall the negative exponent rule

The rule for a negative exponent is \(a^{-n}=\frac{1}{a^{n}}\), where \(a
eq0\) and \(n\) is a positive integer. For \(2^{-4}\), we apply this rule, so \(2^{-4}=\frac{1}{2^{4}}\).

Step2: Calculate the positive exponent

Now, calculate \(2^{4}\). We know that \(2^{4}=2\times2\times2\times2 = 16\). So \(\frac{1}{2^{4}}=\frac{1}{16}\).

Answer:

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