Tính
\(\frac{\left(-0,25\right)^{-5}\times9^4\times\left(-2\right)^{-3}-2^{-2}\times6^9}{2^9\times3^6+6^6\times40}\)
\(\frac{1}{3\times4}-\frac{1}{4\times5}-\frac{1}{5\times6}-\frac{1}{6\times7}-\frac{1}{7\times8}-\frac{1}{8\times9}-\frac{1}{9\times10}\)
\(\frac{\left(-7\right)^n}{\left(-7\right)^{n-1}}\)(n\(\ge1\)) Tính GTBT
Bài 2 Tính GTBT theo cách hợp lí nếu có thể
c) \(\frac{5^3\times3^3}{5^3\times0,5+125\times2,5}\)d)\(\frac{5\times7^1+7^3\times25}{7^5125-7^3\times50}\)e)\(\frac{8^5\times\left(-5\right)^8+\left(-2\right)^5\times10^9}{2^{16}\times5^7+20^8}\)
h)\(\frac{\left(-0,25\right)^{-5}\times9^4\times\left(-2\right)^{-3}-2^{-2}\times6^3}{2^9\times3^6+6^6\times40}\)
Bài 3 Chứng tỏ rằng
a)
So sánh \(A\) và \(B\) , biết rằng:
\(A=\sqrt[13]{12\times\left(11-\frac{\frac{\left(10\times8\right)^{\left(9+8\right)}}{8}+\frac{6^7\times6-6}{6}}{\frac{5}{4}}\right)\div3+2}\)
\(B=\sqrt[13]{12\div\left(11+\frac{\frac{\left(10\times8\right)^{\left(9-8\right)}}{8}+\frac{6^7\times6+6}{6}}{\frac{5}{4}}\right)\times3-2}\)
Rút gọn
a)\(\frac{4^2\times4^3}{2^{10}}\)
b)\(\frac{\left(0.6\right)^5}{\left(0.2\right)^6}\)
c)\(\frac{2^7\times9^3}{6^5\times8^2}\)
d)\(\frac{6^3+3\times6^2+3^3}{-13}\)
Rút gọn
\(\frac{4^5\times9^4-2\times6^9}{2^{10}\times3^8+6^8\times20}\)
\(\frac{2\times6^9-2^5\times18^4}{2^6\times6^8}\)
tính hợp lí
\(\frac{2\times6^9-2^5\times18^4}{2^6\times6^8}\)
tính hợp lí
Cuối cùng: Tìm giá trị của biểu thức sau:
a)\(\frac{4^2\times4^3}{2^{10}}\)
b)\(\frac{\left(0,6\right)^5}{\left(0,2\right)^6}\)
c)\(\frac{2^7\times9^3}{6^5\times8^2}\)
d)\(\frac{6^3+3\times6^2+3^3}{-13}\)