Question

100 баллов


Вычислите, используя свойства степени: 25^3/3^−8∙15^6

Answer 1

Ответ:

$\frac{25 {}^{3} }{3 {}^{ - 8} \times 15 {}^{6} } = \frac{25 {}^{3} \times 3 {}^{8} }{15 {}^{6} } = \frac{25 {}^{3} \times 3 {}^{8} }{3 {}^{6} \times 5 {}^{6} } = \frac{5 {}^{6} \times 3 {}^{8} }{3 {}^{6} \times 5 {}^{6} } = \frac{3 {}^{8} }{3 {}^{6} } = {3}^{2} = 9$

Answer 2

Ответ:

$\\ \frac{25 {}^{3} }{3 {}^{ - 8} \times 15 {}^{6} } = \frac{25 {}^{3} \times 3 {}^{8} }{15 {}^{6} } = \frac{25 {}^{3} \times 3 {}^{8} }{5 {}^{6} \times 3 {}^{6} } = \frac{5 {}^{6} \times 3 {}^{8} }{5 {}^{6} \times 3 {}^{6} } = \frac{3 {}^{8} }{3 {}^{6} } =3 {}^{8 - 6} = 3 {}^{2} = 3 \times 3 = 9$