Change this radical to an algebraic expression with fractional exponents.

Rational exponents

work like this: the numerator is the actual exponent of the base, while the denominator is the index of the root.

In other words, we have

So, in you case, we have

Assuming that the question contanis a typo. If you actually mean ,

then you can write it as

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.