rewrite the following without an exponent. \n$2^{-4}$
rewrite the following without an exponent. \n$2^{-4}$
Answer
Explanation:
Step1: Recall the negative exponent rule
The rule for a negative exponent is (a^{-n}=\frac{1}{a^{n}}), where (a\neq0) 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})