Which expression is equivalent to left parenthesis, start fraction, 2, to the power minus 4 , divided by, 2, to the power minus 4 , end fraction, right parenthesis, to the power minus 4 , question mark(

Question

2
−4

2
−4

​
)
−4
?
Answer
Multiple Choice Answers
11
start fraction, 1, divided by, 16, end fraction
16
1
​

00
1616

Answer 1

To simplify the expression \(\left(\frac{2^{-4}}{2^{-4}}\right)^{-4}\), we can follow these steps:

1. Simplify the fraction inside the parentheses: \[ \frac{2^{-4}}{2^{-4}} = 1 \]

2. Now, raise the result to the power of \(-4\): \[ 1^{-4} = 1 \]

Therefore, the expression \(\left(\frac{2^{-4}}{2^{-4}}\right)^{-4}\) simplifies to \(1\).

Thus, the equivalent expression is: \[ \boxed{1} \]