Question

(2 la puteta 3 ori trei la puterea 5) totul la a doua ori 2 la puterea4 ori 3 la puterea6 : 32

Answer 1

$(2 {}^{3} \times 3 {}^{5} ) {}^{2} \times 2 {}^{4} \times 3 {}^{6} \div 32 = \\ (2 {}^{3} \times 3 {}^{5} ) {}^{2} \times 2 {}^{4} \times 3 {}^{6} \div 2 {}^{5} = \\ \frac{(2 {}^{3} \times 3 {}^{5}) {}^{2} \times 2 {}^{4} \times 3 {}^{6} }{2 {}^{5} } = \\ \frac{(3 {}^{2} \times 6 {}^{3}) {}^{2} \times 3 {}^{6} }{2} = \\ \frac{3 {}^{4} \times 6 {}^{6} \times 3 {}^{6} }{2} = \\ \ \frac{3 {}^{10} \times 6 {}^{6} }{2} = \\ \frac{59049 \times 46656}{2} = \\ 59049 \times 23328 = \\ 1377495072$