Simplify frac 25 frac 2 3 div 25 frac 1 6 frac ... - WAEC Mathematics 2006 Question
Simplify (\frac{25 \frac{2}{3} \div 25 \frac{1}{6}}{( \frac{1}{5})^{-\frac{7}{6}} \times ( \frac{1}{5})^{\frac{1}{6}}})
A
25
B
\(\frac{1}{5}\)
C
1
D
\(\frac{1}{25}\)
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Correct Option: C
(\frac{25 \frac{2}{3} \div 25 \frac{1}{6}}{( \frac{1}{5})^{-\frac{7}{6}} \times ( \frac{1}{5})^{\frac{1}{6}}}) = (\frac{25^{4 - \frac{1}{6}}}{(\frac{1}{5})^{-7 + \frac{1}{6}}})
= (\frac{25^{\frac{1}{2}}}{(\frac{1}{5})^{-1}})
= (\frac{(5^2)^{\frac{1}{2}}}{(5^{-1})^{-1}})
= (\frac{5}{5})
= 1
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