Question

Which of the following expressions is equal to 1 divided by 16?

Answer 1

$(\frac{1}{2})^{4}=\frac{1}{16}$

Answer 2

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.

$\frac{1}{16}=(\frac{1}{2})^4$