Question

Which expression is equivalent to (125^2/125^4/3)

Answer 1

He answer is d which is 25

Answer 2

we have

`(125^(2))/(125^((4/3)))`

The numerator and denominator has the same base, so subtract the exponents

`(125^(2))/(125^((4/3)))=125^(2-(4/3))`

`=125^((2/3))`

remember that

`125=5^(3)`

substitute

`=(5^(3))^((2/3))=(5)^((6/3))=5^(2)=25`

therefore

the answer is

`25`