Question

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

Answer 1

we have

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

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

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

$=125^{(2/3)}$

remember that

$125=5^{3}$

substitute

$=(5^{3})^{(2/3)}=(5)^{(6/3)}=5^{2}=25$

therefore

the answer is

$25$

Answer 2

He answer is d which is 25