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

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

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})