Question

Arătați că b este număr natural vă rog
Dau coroană ​

Answer 1

$b = ((( \frac{3}{2} ) {}^{3} ) {}^{10} \div (( - \frac{2}{3} ) {}^{4} ) {}^{6} \times ( \frac{9}{4} ) {}^{2} ) {}^{4} \div ( \frac{3}{2} ) {}^{38} \times 4 \\ \\ b = (( \frac{3}{2} ) {}^{30} \div ( - \frac{2}{3} ) {}^{24} \times ( \frac{3 {}^{2} }{ {2}^{2} } ) { {}^{} }^{ {}^{} 2} ) {}^{4} \div (\frac{3}{2} ){}^{38} \times 4 \\ \\ b = (( \frac{3}{2} ) {}^{30} \times ( \frac{3}{2} ) {}^{24} \times (( \frac{3}{2} ) {}^{2} ) {}^{2} ) {}^{4} \div ( \frac{3}{2} ) {}^{38} \times 4 \\ \\ b = (( \frac{3}{2} ) {}^{30} \times ( \frac{3}{2} ) {}^{24} \times ( \frac{3}{2} ) {}^{4} ) {}^{4} \div ( \frac{3}{2} ) {}^{38} \times 4 \\ \\ b = (( \frac{3}{2} ) {}^{ 30 + 24 + 4} ) {}^{4} \div (\frac{3}{2} ) {}^{38} \times 4 \\ \\ b = ( \frac{3}{2} ) {}^{58 \times 4} \div ( \frac{3}{2} ) {}^{38} \times 4 \\ \\ b = ( \frac{3}{2} ) {}^{232} \div ( \frac{3}{2} ) {}^{38} \times 4 \\ \\ b = ( \frac{3}{2} ) {}^{194} \times 4 \\ b = 1.5 {}^{194} \times 4 \\ b = numar \: rational$