Question

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

Answer 1

Answer:

25

Step-by-step explanation:

Answer 2

Answer:

The given expression is equal to 25.

Step-by-step explanation:

The given expression is

$(\frac{125^{2} }{125^{\frac{4}{3} } } )$

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

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

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

$125^{\frac{2}{3} }=\sqrt[3]{125^{2} } =\sqrt[3]{15625} =25$

Therefore, the given expression is equal to 25.