Which expressions are equivalent to \dfrac{1}{5}\cdot \dfrac{1}{5}\cdot \dfrac{1}{5}\cdot \dfrac{1}{5}

The given expression is a multiplication of the fraction 1/5 four times. This can be written in several equivalent forms:

1. As a power: $(\dfrac{1}{5})^4$ This means "1/5 multiplied by itself 4 times".

2. As a decimal: $0.2^4$ This is because 1/5 is equivalent to 0.2.

3. As a fraction: $\dfrac{1}{625}$ This is because 5^4 = 625, so (1/5)^4 = 1/625.

4. As a decimal: $0.0016$ This is because 1/625 is equivalent to 0.0016.

So, the expressions equivalent to $\dfrac{1}{5}\cdot \dfrac{1}{5}\cdot \dfrac{1}{5}\cdot \dfrac{1}{5}$ are $(\dfrac{1}{5})^4$, $0.2^4$, $\dfrac{1}{625}$, and $0.0016$.