Question

I really need help please c:
U^-3=1/125
U=?

Answer 1

the answer is: U =5

first, you take the U^-3 and put it as 1/U^3, that is because you cannot have a negative exponent, you MUST turn the exponent into a positive....
now you have 1/U^3 = 1/125... now you find the uncubed version of 125::::::

the cube root of 125 is 5

so, when you have U^-3, you are looking at 5^-3..

Answer 2

`a^(-n)=(1)/(a^3)\\-----------------------\\\\U^(-3)=(1)/(U^3)\\\\therefore\\\\(1)/(U^3)=(1)/(125)\ \ \ \ \ |inverse\ both\ sides\\\\U^3=125\\\\U=\sqrt[3]{125}\\\\\boxed{U=5}\ because\ 5^3=125`