Question

3 which of the following expressions is equivalent to $2^{-4}$ ? a $\frac{1}{2^4}$ b $-2^4$ c $\frac{1}{2^{-4}}$

Explanation:

Step1: Recall negative exponent rule

The rule for negative exponents is \( a^{-n}=\frac{1}{a^{n}} \) (where \( a
eq0 \) and \( n \) is a positive integer).

Step2: Apply the rule to \( 2^{-4} \)

Using the negative exponent rule with \( a = 2 \) and \( n=4 \), we get \( 2^{-4}=\frac{1}{2^{4}} \).

Answer:

A. \(\frac{1}{2^{4}}\)