Question

Evaluate. Write your answer as a fraction in simplest form. (2/5)^3​

Answer 1

`(8)/(125)`

Explanation:

`((2)/(5))^3`

Problems like this have exponents and bases. The base is the bigger number of the two - in this case, it's the number inside the parentheses:
`(2)/(5)`. The exponent is the smaller number attached to the right of the bigger number - in this case, it's 3. To evaluate, multiply the base by itself however many times the exponent says to. So, this questions wants us to multiply
`(2)/(5)` by itself three times.

Knowing this, we can simplify the problem to
`(2)/(5)` times itself three times and multiply fractions like how you normally would:

`((2)/(5) )^3`

=
`((2)/(5)) ((2)/(5)) ((2)/(5))`

=
`(8)/(125)`

Therefore,
`(8)/(125)` is the answer.