When 1,250 Superscript three-fourths is written in its simplest radical form, which value remains under the radical?

Answer 1

When 1,250^3/4 is written in its simplest radical form, the value under the radical is 10.

This is because 1,250 can be written as 10^3 * 5, so when raised to the 3/4 power, we get:

(10^3 * 5)^3/4 = 10^(3*3/4) * 5^(3/4) = 10^2 * 5^(3/4) = 100 * √(5^3) = 100 * 5√5 = 500√5

Therefore, when 1,250^3/4 is written in its simplest radical form, the value under the radical is 10.