Simplify (frac{5^x times 25^{x – 1}}{125^{x + 1}})
-
A.
52x + 1 -
B.
5x + 1 -
C.
5-5 -
D.
52 -
E.
53
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})