Question

Which expression is equivalent to (StartFraction 125 squared Over 125 Superscript four-thirds Baseline EndFraction?

Answer 1

25

Explanation:

Answer 2

The given expression is equal to 25.

Explanation:

The given expression is

`(\frac{125^(2) }{125^{(4)/(3) } } )`

To simplify this expression, we have to divide powers, which implies to subtract exponenets, as follows

`(\frac{125^(2) }{125^{(4)/(3) } } )=125^{2-(4)/(3) }=125^{(6-4)/(3) }=125^{(2)/(3) }`

Then, we use the exponent property to transform the obtained power to a root

`125^{(2)/(3) }=\sqrt[3]{125^(2) } =\sqrt[3]{15625} =25`

Therefore, the given expression is equal to 25.