Tính giá trị biểu thức:

a. \(\dfrac{20^5\times5^{10}}{100^5}\)

b. \(\dfrac{\left(0,9\right)^5}{\left(0,3\right)^6}\)

c. \(\dfrac{6^3+3\times6^2+3^3}{-13}\)

d. \(\dfrac{4^6\times9^5+6^9\times120}{8^4\times3^{12}-6^{11}}\)

e. \(\left(2^{-1}+3^{-1}\right):\left(2^{-1}-3^{-1}\right)+\left(2^{-1}\times2^0\right)\times2^3\)

f. \(\left(\dfrac{-1}{3}\right)^{-1}-\left(\dfrac{-3}{5}\right)^6+\left(\dfrac{1}{2}\right)^2:2\)

Các bạn ơi ,giúp mình với

Bài 1:Rút gọn

a)\(\frac{2^{19}\times27^3+15\times4^9\times9^4}{6^9\times2^{10}+12^{10}}\)

b)\(\frac{\left(\frac{-1}{2}\right)^3-\left(\frac{3}{4}\right)^3\times\left(-2\right)^2}{2\times\left(-1\right)^5+\left(\frac{3}{4}\right)^2-\frac{3}{8}}\)

c)\(\frac{45\times9^4-2\times6^4}{2^{19}\times3^8+6^8\times20}\)

Bài 2:Tìm x

a)\(5^x+5^{x+2}=650\)

b)\(3^{x-1}+5\times3=162\)

Tính giá trị biểu thức:

a. \(\frac{20^5\times5^{10}}{100^5}\)

b. \(\frac{\left(0,9\right)^5}{\left(0,3\right)^6}\)

c. \(\frac{6^3+3\times6^2+3^3}{-13}\)

d. \(\frac{4^6\times9^5+6^9\times120}{8^4\times3^{12}-6^{11}}\)

e. \(\left(2^{-1}+3^{-1}\right):\left(2^{-1}-3^{-1}\right)+\left(2^{-1}\times2^0\right)\times2^3\)

f. \(\left(\frac{-1}{3}\right)^{-1}-\left(\frac{-3}{5}\right)^6+\left(\frac{1}{2}\right)^2:2\)

\(\frac{\left(-7\right)^n}{\left(-7\right)^{n-1}}\)(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)

Bài 1 : Tính :

a)\(\frac{\left(13\frac{1}{4}-2\frac{5}{27}-10\frac{5}{6}\right)\times230\frac{1}{5}+46\frac{3}{4}}{\left(1\frac{3}{10}+\frac{10}{3}\right)\div\left(12\frac{1}{3}-14\frac{2}{7}\right)}\)

b) \(\frac{2^{12}\times3^5-4^6\times9^2}{\left(2^4\times3\right)^6+8^4\times3^5}-\frac{5^{10}\times7^3-25^5\times49^2}{\left(125\times7\right)^3+5^9\times14^3}\)

c)P=\(\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+....+\frac{1}{2016}}{\frac{2015}{1}+\frac{2014}{2}+\frac{2013}{3}+....+\frac{1}{2015}}\)

1. So sánh các tích sau hợp lý nhất:

P = \(\left(-\dfrac{21}{34}\right)\)\(\left(-\dfrac{13}{27}\right)\)\(\dfrac{7}{9}\)

Q = \(\left(-0,5\right)\)\(\dfrac{3}{19}\)\(\left(-\dfrac{24}{41}\right)\)\(\left(\dfrac{8}{31}\right)\)

M = \(\dfrac{-6}{17}.\dfrac{-5}{17}.\) ... \(.\dfrac{5}{17}.\dfrac{6}{17}\)

2. Tính hợp lý:

A = \(\left(-\dfrac{3}{11}\right).\dfrac{7}{10}.\dfrac{11}{-13}.\left(-20\right)\)

B = \(\dfrac{-4}{9}:\dfrac{2}{13}+\left(\dfrac{-5}{18}\right).\dfrac{2}{13}\)

C = \(\left(2\dfrac{1}{15}.\dfrac{3}{19}.\dfrac{2}{31}\right):\left(-\dfrac{5}{19}\right)\)

Help me!