Final answer:
The expression equivalent to 1/5 x 1/5 x 1/5 x 1/5 is (1/5)^4, as it represents the fraction 1/5 multiplied by itself four times.
Step-by-step explanation:
The question asks which expressions are equivalent to the expression 1/5 x 1/5 x 1/5 x 1/5. This can be interpreted as raising the fraction 1/5 to the fourth power because multiplication of the same base can be expressed through exponentiation. Therefore, the equivalent expression to 1/5 x 1/5 x 1/5 x 1/5 is (1/5)^4.
When a number or a fraction is raised to a power, it means that the number or fraction is being multiplied by itself a certain number of times, which in this case is four times. Hence, the expression (1/5)^4 represents 1/5 multiplied by itself four times.