Which expression is equivalent to 4, to the power minus 1 , dot, 4, question mark4

Question

−1
⋅4?
Answer
Multiple Choice Answers
4, squared4
2

00
11
start fraction, 1, divided by, 4, squared, end fraction
4
2

1
​

Answer 1

To solve the expression \( 4^{-1} \cdot 4 \), we first need to interpret what \( 4^{-1} \) means. The expression \( 4^{-1} \) is equivalent to \( \frac{1}{4} \).

Now we can rewrite the expression:

\[ 4^{-1} \cdot 4 = \frac{1}{4} \cdot 4 \]

When you multiply \( \frac{1}{4} \) by \( 4 \), the \( 4 \) in the numerator cancels the \( 4 \) in the denominator:

\[ \frac{1}{4} \cdot 4 = 1 \]

Thus, the expression \( 4^{-1} \cdot 4 \) simplifies to \( 1 \).

From the multiple-choice answers provided, the correct answer is:

1