Answer:
Out of given options only (1) is equivalent to given expression.
[tex]\frac{1}{16}=(\frac{1}{2})^4[/tex]
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 [tex]\frac{1}{16}[/tex]
We will evaluate the given options and check which one will give same fraction.
1) [tex](\frac{1}{2})^4[/tex]
We can write it as [tex]\frac{1}{2^4}=\frac{1}{16}[/tex]
2) [tex](\frac{1}{4})^4[/tex]
We can write it as [tex]\frac{1}{4^4}=\frac{1}{256}[/tex]
3) [tex](\frac{1}{2})^2[/tex]
We can write it as [tex]\frac{1}{2^2}=\frac{1}{4}[/tex]
Thus, out of given options only (1) is equivalent to given expression.
[tex]\frac{1}{16}=(\frac{1}{2})^4[/tex]
