(x-2)(x+2)(x+4) = (x^2 - 4) (x+4) = x^3 + 4x^2 -4x - 16 

a,(0,8)⁵:(0,4)⁶ = (\(\dfrac{0,8}{0,4}\))⁵ : 0,4 = 2⁵:0,4 = 80

b, (-25)⁷: 32³ - \(\dfrac{6103515625}{3276}\) = - 186264,5149

c, \(\dfrac{4^2.4^3}{2^{10}}\) = \(\dfrac{4^5}{2^{10}}\) = \(\dfrac{2^{10}}{2^{10}}\) = 1

d, \(\dfrac{9^5.5^7}{45^7}\) = \(\dfrac{9^5.5^7}{9^7.5^7}\) = \(\dfrac{1}{81}\)

\(\dfrac{\left(0.8\right)^5}{\left(0.4\right)^4}\)=\(\dfrac{\left(2.0,4\right)^5}{\left(0.4^4\right)}\)=\(\dfrac{2^5.\left(0.4\right)^5}{\left(0,4\right)^4}\)=\(2^5\).\(\left(0.4\right)^1\)=12,8

b)câu b không biết có sai đề không nhưng đáp án câu b là -186264,5149

c) \(\dfrac{4^2.4^3}{2^{10}}\)=\(\dfrac{4^5}{\left(2^2\right)^5}\)=\(\dfrac{4^5}{4^5}\)=1

d)\(\dfrac{9^5.5^7}{45^7}\)=\(\dfrac{9^5.5^5.5^2}{45^7}\)=\(\dfrac{45^5.5^2}{45^7}\)=\(\dfrac{5^2}{45^2}\)=\(\left(\dfrac{5}{45}\right)^2\)=\(\left(\dfrac{1}{9}\right)^2\)=\(\dfrac{1}{81}\)

a) 80

b) -186264,5149

c) 1

d) 1/81

Giải:

a) \(2\dfrac{17}{20}-1\dfrac{15}{11}+6\dfrac{9}{20}:3\)

\(=\dfrac{57}{20}-\dfrac{26}{11}+\dfrac{129}{20}:3\) 

\(=\dfrac{107}{220}+\dfrac{43}{20}\)

\(=\dfrac{29}{11}\)

b) \(4\dfrac{3}{7}:\left(\dfrac{7}{5}.4\dfrac{3}{7}\right)\) 

\(=\dfrac{31}{7}:\left(\dfrac{7}{5}.\dfrac{31}{7}\right)\) 

\(=\dfrac{31}{7}:\dfrac{31}{5}\) 

\(=\dfrac{5}{7}\) 

c) \(\left(3\dfrac{2}{9}.\dfrac{15}{23}.1\dfrac{7}{29}\right):\dfrac{5}{23}\) 

\(=\left(\dfrac{29}{9}.\dfrac{15}{23}.\dfrac{36}{29}\right):\dfrac{5}{23}\) 

\(=\dfrac{60}{23}:\dfrac{5}{23}\) 

\(=12\)

i don't care :))

9/4.7/17+2

=63/68+2

=63/68+136/68=199/68

1/4.3/1-21/4.13/17

=1/4.3/17-21/4.14/17

=3/68-273/68=-270/68=-135/68

\(\dfrac{15}{7}:\dfrac{7}{9}-\dfrac{4}{7}\times\dfrac{2}{9}-\dfrac{4}{7}\times\dfrac{4}{9}\)

\(=\dfrac{15}{7}\times\dfrac{9}{7}-\dfrac{4}{7}\times\dfrac{2}{9}-\dfrac{4}{7}\times\dfrac{4}{9}\)

\(=\dfrac{135}{49}-\dfrac{8}{63}-\dfrac{16}{63}\)

\(=\dfrac{1215}{441}-\dfrac{56}{441}-\dfrac{112}{441}\)

\(=\dfrac{1215-56-112}{441}\)

\(=\dfrac{1047}{441}=\dfrac{349}{147}\)

15/7 : 7/9 - 4/7 x 2/9 - 4/7 x 4/9

= 135/49 - 8/63 - 16/63

= 1159/441 - 16/63

= 1047/441 = 349/147

e: \(=\left|3-\sqrt{2}\right|=3-\sqrt{2}\)

h: \(=3-\sqrt{2}+3+\sqrt{2}=6\)

g: \(=\left|0.1-\sqrt{0.1}\right|=0.1-\sqrt{0.1}\)

i: \(=\left|2\sqrt{2}-3\right|=3-2\sqrt{2}\)

c: \(=\left|2+5\right|=7\)

o: \(=5-2\sqrt{6}-5-2\sqrt{6}=-4\sqrt{6}\)

n: \(=4-2\sqrt{3}+4+2\sqrt{3}=8\)

m: \(=7+2\sqrt{10}-7-2\sqrt{10}=0\)

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