A. \(256:2^5\cdot4\)

\(=2^6:2^5\cdot2^2\)

\(=2^{6-5+2}\)

\(=2^3\)

B. \(\left(4x^2\right)^8:\left(4x^2\right)^4:\left(4x^2\right)^2\)

\(=\left(4x^2\right)^{8-4-2}\)

\(=\left(4x^2\right)^2\)

\(=\left[\left(2x\right)^2\right]^2\)

\(=\left(2x\right)^4\)

C. \(y^{50}:\left(y^5\right)^3:\left(y^2\right)^{10}\)

\(=y^{50}:y^{15}:y^{20}\)

\(=y^{50-15-20}\)

\(=y^{15}\)

\(x^8:x^7:x=x^1:x=1^1\)

x⁸:x⁷:x=x^8-7-1=x⁰=1

x⁸ : x⁷ 

a)  3.3^4.3^5 = 3^10

b) 7^3 : 7^2 : 7 = 7^0

c) (x^4)^3 = x^12

a) \(3\cdot3^4\cdot3^5=3^{10}\)

b) \(7^3:7^2:7=7^{3-2-1}=7^0\)

c) \(\left(x^4\right)^3=x^{12}\)

\(a,5\cdot p\cdot5\cdot p\cdot2q\cdot4q\)

\(=5^2\cdot p^2\cdot2\cdot q\cdot2^2\cdot q\)

\(=5^2\cdot2^3\cdot p^2\cdot q^2\)

\(b,a\cdot a+b\cdot b+c\cdot c\cdot c+d\cdot d\cdot d\cdot d\)

\(=a^2+b^2+c^3+d^4\)

#Urushi

a: \(=\dfrac{4x-2+6x^2-6x+2x^2+1}{2x\left(2x-1\right)}=\dfrac{8x^2-2x-1}{2x\left(2x-1\right)}\)

a) 125⁴:25³= (5³)³: (5²)³=5⁹:5⁶=5³

b) 4¹⁴:5²⁸=4¹⁴: 5^2.14=4¹⁴:(5²)¹⁴= 4¹⁴:25¹⁴

c) 12ⁿ:2²ⁿ= 

Lưu ý : ^ :Mũ

2:

a: n=5^4

=>n=625

b: n^3=125

=>n^3=5^3

=>n=5

c: 11^n=1331

=>11^n=11^3

=>n=3

B1: a)\(xy\left(3x-2y\right)-2xy^2=3x^2y-2y^2x-2xy^2=3x^2y-4xy^2\)

b) \(\left(x^2+4x+4\right):\left(x+2\right)=\left(x+2\right)^2:\left(x+2\right)=\left(x+2\right)\)

\(\dfrac{2\left(x-1\right)}{x^2}.\dfrac{x}{\left(x-1\right)}=\dfrac{2\left(x-1\right)x}{x^2\left(x-1\right)}=\dfrac{2}{x}\)

B2:

a)\(2x^2-4x+2=2\left(x^2-2x+1\right)=2\left(x-1\right)^2\)

b)\(x^2-y^2+3x-3y=\left(x-y\right)\left(x+y\right)+3\left(x-y\right)=\left(x-y\right)\left(x+y+3\right)\)

Mấy bài này là mấy bài rất rất rất cơ bản, học sinh TB cũng phải tự làm được, mấy bài kiểu này đừng nên đăng lên hỏi nha:vv