Question

(0.22)⁴*(0.222)³by(0.2)5*(0.2222)²

Answer 1

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$= \frac{(0.22) {}^{4} \times (0.222) {}^{3} }{(0.2) {}^{5} \times (0.2222) {}^{2} }$

$= \frac{0.22 \times 0.04884 {}^{3} }{( \frac{1}{5}) {}^{5} \times ( \frac{1111}{5000} ) {}^{2} }$

$= \frac{ \frac{11}{50} \times \frac{(1221}{25000} ) {}^{3} }{ \frac{1}{3125} \times \frac{1111 {}^{2} }{5000 {}^{2} } }$

$= \frac{ \frac{11}{50} \times \frac{1221 {}^{3} }{25000 {}^{3} } }{ \frac{1111 {}^{2} }{3125 \times 5000 {}^{2} } }$

$= \frac{ \frac{11 \times 1221 {}^{2} }{50 \times 25000 {}^{3} } }{ \frac{1111 {}^{2} }{3125 \times 5000 {}^{2} } }$

$= \frac{3175 \times 1221 {}^{3} \times 5000 {}^{2} }{2 \times 25000 {}^{3} \times 1111 {}^{2} }$

$in \: decimal \: > \: 1.62223$
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