Question

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

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