Help me:

Tính:

( 2^-1 + 3^-1 ) : ( 2^-1  - 3^-1 ) + ( 2^-1 : 2⁰ ) :2³

^{\(\frac{\left(\frac{2}{5}\right)^7\cdot5^7+\left(\frac{9}{4}\right)^3:\left(\frac{3}{16}\right)^3}{2^7\cdot5^2+512}\)}

^{\(\frac{4^6\cdot9^5+6^9\cdot120}{^{8^4\cdot3^{12}-6^{11}}}\)}

^{\(\frac{4^5\cdot9^4-2\cdot6^9}{2^{10}\cdot3^8+6^8\cdot20}\)}

Rút gọn:

a) \(\frac{2^{19}\cdot27+15\cdot4^9\cdot9^4}{6^9\cdot2^{10}+12^{10}}\)                                                                c)\(\frac{4^6\cdot9^5+6^9\cdot120}{8^4\cdot3^{12}-6^{11}}\)

^{b)\(\frac{\left(\frac{2}{5}\right)^7\cdot5^7+\left(\frac{9}{4}\right)^3:\left(\frac{3}{16}\right)^3}{2^7\cdot5^2+512}\)}

Bài 1: Tìm n

1/4*2/6*3/8*4/10*5/12*.....* 30/62*31/64=2^n

Bài 2: Tính

a) \(\frac{\left(-5\right)^{60}\cdot30^5}{15^5\cdot5^{61}}\)  

b)\(2^3+3\cdot\left(\frac{1}{3}\right)^0-2^{-2}\cdot4+\left[\left(-2\right)^3:\frac{1}{2}\right]\cdot8\)

(GỢI Ý CÂU B:\(^{2^{-2}=\frac{1}{2^2}}\)

Bài 3: Tìm x

a)\(^{2^x=16}\)

b)\(^{\left(\frac{x}{13}\right)^2=\frac{49}{169}}\)

c)\(\left(\frac{-1}{5}\right)^x=\left(\frac{-1}{125}\right)^3\cdot x^4=\frac{-16}{625}\)

d)\(^{6^{4-x}=216}\)

Bài 4:Tìm n

a)\(3^n\cdot3^{-2}=3^5\)

b)Tìm x:

1)\(\frac{2^{4-x}}{16^5}=32^6\)

2)\(^{9\cdot5^x=6\cdot5^6+3\cdot5^6}\)

3)\(\frac{2^3}{2^x}=4^5\)

Các bạn giúp mik!!!Mik sắp kiểm tra 45p r