Out of given options only (1) is equivalent to given expression.
![\frac{1}{16}=(\frac{1}{2})^4](/tpl/images/0272/8913/f7acb.png)
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}](/tpl/images/0272/8913/301ce.png)
We will evaluate the given options and check which one will give same fraction.
1) ![(\frac{1}{2})^4](/tpl/images/0272/8913/87c81.png)
We can write it as ![\frac{1}{2^4}=\frac{1}{16}](/tpl/images/0272/8913/fd769.png)
2) ![(\frac{1}{4})^4](/tpl/images/0272/8913/9aeb1.png)
We can write it as ![\frac{1}{4^4}=\frac{1}{256}](/tpl/images/0272/8913/f0eaf.png)
3) ![(\frac{1}{2})^2](/tpl/images/0272/8913/4a257.png)
We can write it as ![\frac{1}{2^2}=\frac{1}{4}](/tpl/images/0272/8913/3b0ae.png)
Thus, out of given options only (1) is equivalent to given expression.
![\frac{1}{16}=(\frac{1}{2})^4](/tpl/images/0272/8913/f7acb.png)