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

Mathematics
JAMB 1979

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

  • A. 52x + 1
  • B. 5x + 1
  • C. 5-5
  • D. 52
  • E. 53
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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\(^{-5}\)


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