Bài 1:Tính giá trị biểu thức

\(_{1,}\)\(3^2.\dfrac{1}{243}.81^2.\dfrac{1}{3^3}\)

\(_{2,}\)(\(4.2^5\)):\(\left(2^3.\dfrac{1}{16}\right)\)

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

\(_{4,}\)\(\left(-\dfrac{1}{3}\right)^{-1}-\left(-\dfrac{6}{7}\right)^0+\left(\dfrac{1}{2}\right)^2:2\)

\(_{5,}\)[(0,1)\(^2\)]\(^0\)+[(\(\dfrac{1}{7}\))\(^{-1}\)]\(^2\).\(\dfrac{1}{49}.\left[\left(2^2\right)^3:2^5\right]\)

Bài 2:Rút gọn biểu thức

a,\(\dfrac{4^5.9^4-2.6^9}{2^{10}.3^8+6^8.20}\)

b,\(\dfrac{3^6.45^4-15^{13}.5^{-9}}{27^4.25^3+45^6}\)

c,\(\left(\dfrac{2}{5}\right)^7.5^7+\left(\dfrac{9}{4}\right)^3:\left(\dfrac{3}{16}\right)^3\)

\(\overline{2^7.5^2+512}\)

d,\(\left(\dfrac{2}{3}\right)^3.\left(-\dfrac{3}{4}\right)^2.\left(-1\right)^5\)

\(\overline{\left(\dfrac{2}{5}\right)^2}.\left(-\dfrac{5}{12}\right)^3\)

Tìm x, biết:

a, \(\left(2x-1\right)^{10}=\left(1-2x\right)^5\)

\(b,\) \(\left(3x-1\right)^{15}=\left(1-3x\right)^8\)

c, \(\left(5x-3\right)^4+3=5\)

Tìm x biết:

a, \(81^{-2x}.27^x=9^5\)

b, \(2^x+2^{x+3}=144\)

c, \(2^{x-1}+5.2^{x-2}=7.32\)

Tính : 3^7.2^8 / 6^7

Bài 1:1)\(\left(\dfrac{-3}{2}\right)^x\)=\(\dfrac{9}{4}\)

2)\(3^{2x+2}=9^{10}\)

3)\(3^{3-2x}=27^{13}\)

4)\(5.3^x=7.3^5-2.3^5\)

Giúp mk với

Tính m , n ,p biết :

a) \(\left(\dfrac{1}{3}\right)^m=\dfrac{1}{81}\) b) \(\left(\dfrac{3}{5}\right)^n=\left(\dfrac{9}{25}\right)^5\)

c) \(\left(-0,25\right)^p=\dfrac{1}{256}\)

1. Tính:

C= \(\left(\dfrac{1}{2^2-1}\right)\left(\dfrac{1}{3^2-1}\right)\left(\dfrac{1}{4^2-1}\right)-.\left(\dfrac{1}{100^2-1}\right)\)

2. Tìm x:

\(\left(\dfrac{2}{5}\right)^x>\left(\dfrac{5}{2}\right)^{-3}.\left(\dfrac{-2}{5}\right)^2\)

Help me!!!

(X+1):25=4:(X+2)

(X+1)/25=4/(X+2)

Tìm x:

4/16 = 100/x2 -41