Simplify (frac{5^x times 25^{x – 1}}{125^{x + 1}})

A.
5^{2x + 1} 
B.
5^{x + 1} 
C.
5^{5} 
D.
5^{2} 
E.
5^{3}
Correct Answer: Option C
Explanation
(frac{5^x times 25^{x – 1}}{125^{x + 1}}) = (frac{5^x times 5^{2x – 2}}{5^{3x + 3}})
= (frac{5^{x + 2x – 2}}{5^{3x + 3}})
= (frac{5^{3x – 2}}{5^{3x + 3}})
= 5(^{3x – 2 – 3x – 3})
= 5(^{5})