Question

Tính: (125³ . 7⁵ - 175⁵ : 5) : 2016²⁰¹⁷

Answer 1

\(\left(125^3.7^5-175^5:5\right):2016^{2017}\)

= \(\left[\left(5^3\right)^3.7^5-\left(5^2.7\right)^5:5\right]:2016^{2017}\)

= \(\left[5^{3.3}.7^5-5^{2.5}.7^5:5\right]:2016^{2017}\)

= \(\left[5^9.7^5-5^{10}.7^5:5\right]:2016^{2017}\)

= \(\left[5^9.7^5-5^9.7^5\right]:2016^{2017}\)

= \(0:2016^{2017}\)

= \(0\)

Answer 2

\(\dfrac{125^3\cdot7^5-175^5:5}{2016^{2017}}\)

\(=\dfrac{5^9\cdot7^5-5^{10}\cdot7^5:5}{2016^{2017}}\)

\(=\dfrac{5^9\cdot7^5-5^9\cdot7^5}{2016^{2017}}\)

=0