Answer:
Out of given options only (1) is equivalent to given expression.
\(\frac{1}{16}=(\frac{1}{2})^4\)
Step-by-step explanation:
Given: expression 1 divided by 16.
We have to choose an equivalent fraction for the given fraction.
Consider the given expression 1 divided by 16 mathematically written \(\frac{1}{16}\)
We will evaluate the given options and check which one will give same fraction.
1) \((\frac{1}{2})^4\)
We can write it as \(\frac{1}{2^4}=\frac{1}{16}\)
2) \((\frac{1}{4})^4\)
We can write it as \(\frac{1}{4^4}=\frac{1}{256}\)
3) \((\frac{1}{2})^2\)
We can write it as \(\frac{1}{2^2}=\frac{1}{4}\)
Thus, out of given options only (1) is equivalent to given expression.
\(\frac{1}{16}=(\frac{1}{2})^4\)
