a) \(a^9:a^7\cdot\left(a^2\right)^2\)

\(=a^9:a^7\cdot a^4\)

\(=a^2\cdot a^4\)

\(=a^6\)

b) \(\left(ab\right)^6:b^5:b\)

\(=a^6b^6:b^4\)

\(=a^6b^2\)

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) \(\left(x^4\right)^3=x^{12}\)

(-7).(-7).(-7).(-7).(-7).(-7) = (-7)6

a) \(9x^2-12x+4=\left(3x-2\right)^2\)

b) \(25+10x+x^2=\left(x+5\right)^2\)

c) \(36x^2-25=\left(6x-5\right)\left(6x+5\right)\)

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

a: \(9x^2-12x+4=\left(3x-2\right)^2\)

b: \(x^2+10x+25=\left(x+5\right)^2\)

c: \(36x^2-25=\left(6x-5\right)\left(6x+5\right)\)

a,=2^72

b,=3^63

c,=7^54

a) \(23197=2\cdot10^4+3\cdot10^3+10^2+9\cdot10^1+7\)

b) \(203184=2\cdot10^5+3\cdot10^3+10^2+8\cdot10^1+4\)

2⁵.8=2⁵.2³=2⁵⁺³=2⁸

3⁷/9=3⁷:3²=3^7–2=3⁵

2⁵x8=2⁵x2³=2⁸

3⁷:9=3⁷:3³=3⁴

\(2^5.8=2^5.2^3=2^8\)

\(\frac{3^7}{9}=\frac{3^7}{3^2}=3^5\)

B

B

B

\(\left(\dfrac{1}{7}\right)^7\cdot7^7\)

\(=\left(\dfrac{1}{7}\cdot7\right)^7\)

\(=\left(\dfrac{7}{7}\right)^7\)

\(=1^7\)

\(=1\) 

_______

\(\dfrac{3^7}{\left(0,375\right)^7}\)

\(=\left(\dfrac{3}{0,375}\right)^7\)

\(=8^7\)

\(=\left(2^3\right)^7\)

\(=2^{21}\)