Question

Найдите значение выражения 15^8/3^6 x 5^7

Answer 1

$\frac{15^8}{3^6\cdot 5^7}=\frac{(3\cdot 5)^8}{3^6\cdot 5^7}=\frac{3^8\cdot 5^8}{3^6\cdot 5^7}=3^2\cdot 5=9\cdot 5=45$

$P.S.\; \; \; \; \; \frac{a^{n}}{a^{k}}=a^{n-k}$

Answer 2

$\frac{ {15}^{8} }{ {3}^{6} \times {5}^{7} } = \frac{ {15}^{8} }{5 \times {15}^{6} } = \frac{ {15}^{2} }{5} = \frac{225}{5} = 45$