a) \(\dfrac{2^4.2^6}{\left(2^5\right)^2}.2008\)
\(=\dfrac{2^{\left(4+6\right)}}{2^{5.2}}.2008\)
\(=\dfrac{2^{10}}{2^{10}}.2008\)
\(=1.2008\)
\(=2008\)
b) \(\dfrac{2^5.15^3}{6^3.10^2}\)
\(=\dfrac{2^5.\left(3.5\right)^3}{\left(2.3\right)^3.\left(2.5\right)^2}=\dfrac{2^5.3^3.5^3}{2^3.3^3.2^2.5^2}=\dfrac{2^5.3^3.5^3}{2^5.3^3.5^2}=\dfrac{5^3}{5^2}=5\)
Chúc bạn học tốt 
Tính x, y
\(3x=y\); \(5y=4z\) và \(6x+7y+8z=456\)
\(\dfrac{x}{3}=\dfrac{y}{5}=\dfrac{z}{7}\) và \(2x+3y-z=-14\)
Thực hiện phép tính:
\(\dfrac{2^4.2^6}{\left(2^5\right)^2}\)-\(\dfrac{2^5.15^3}{6^3.10^2}\)
thực hiên phép tính :
a, \(\left(3^2\right)^2-\left(2^3\right)^2-\left(-5^2\right)^2\)
b, \(2^3+3.\left(-\dfrac{1}{2}\right)^0-\left(\dfrac{1}{2}\right)^2.4+\left(\left(-2\right)^2:\dfrac{1}{2}\right):8\)
c, \(\left(4.2^5\right):\left(2^3.\dfrac{1}{16}\right)\)
d, \(A=\dfrac{2^{12}.3^5-4^6.9^2}{\left(2^2.3\right)^6+8^4.3^5}-\dfrac{5^{10}.7^3-25^5.49^2}{\left(125.7\right)^3+5^9.14^3}\)
1) \(\dfrac{2^5.15^3}{6^3.10^2}\)
Thực hiện phép tính
a, A = \(\left(\dfrac{1}{4\times9}+\dfrac{1}{9\times14}+\dfrac{1}{14\times19}+....+\dfrac{1}{44\times49}\right)\times\dfrac{1-3-5-7-....-49}{89}\)
b, B = \(\dfrac{2^{12}\times3^5-4^6\times9^2}{\left(2^2\times3\right)^6+8^4\times3^5}-\dfrac{5^{10}\times7^3-25^5\times49^2}{\left(125\times7\right)^3-5^9\times14^3}\)
2. thực hiện phép tính
a. \(\dfrac{3}{8}.72\dfrac{1}{5}-51\dfrac{1}{5}.\dfrac{3}{8}\)
b.\(25.\left(\dfrac{-1}{5}^{ }\right)^3+\dfrac{1}{5}-2.\left(\dfrac{-1}{2}\right)^2-\dfrac{1}{2}\)
c.\(35\dfrac{1}{6}.\dfrac{-4}{5}-45\dfrac{1}{6}.\dfrac{-1}{5}\)
thực hiện phép tính: \(\left(5+\dfrac{1}{5}-\dfrac{2}{9}\right)-\left(2-\dfrac{1}{23}-2\dfrac{3}{35}+\dfrac{5}{6}\right)-\left(8+\dfrac{2}{7}-\dfrac{1}{18}\right)\)
1) tính
\(\dfrac{2^5.15^3}{6^3.10^2}\)
Thực hiện phép tính:
\(A=\dfrac{2^{12}.3^5-4^6.9^2}{\left(2^2.3\right)^6+8^4.3^5}-\dfrac{5^{10}.7^3-25^5.49^2}{\left(125.7\right)^3+5^9.14^3}\)
\(B=\dfrac{1-\dfrac{1}{\sqrt{49}}+\dfrac{1}{49}-\dfrac{1}{\left(7\sqrt{7}\right)^2}}{\dfrac{\sqrt{64}}{2}-\dfrac{4}{7}+\dfrac{2^2}{7^2}-\dfrac{4}{343}}\)
Thực hiện các phép tính sau
a) \(2^3+3.\left(\dfrac{2}{3}\right)^0-2^{-2}+\left[\left(-2\right)^2:\dfrac{1}{2}\right]-8\)
b) \(\left(\dfrac{1}{3}\right)^{-1}-\left(-\dfrac{6}{7}\right)^0+\left(\dfrac{1}{2}\right)^2:2\)
Nhanh nha mai mình đi học