JAMB - Mathematics (1979 - No. 15)

Simplify \(\frac{5^x \times 25^{x - 1}}{125^{x + 1}}\)
52x + 1
5x + 1
5-5
52
53

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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