6^3×5^2×(5/6)^3
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`(-2 1/3 ) .( - (-6)/4 )`
`= - (2xx3+1)/3 . 6/4`
`= - 7/3 . 6/4`
`= -42/12`
`= -7/2`
\(\left(-2\dfrac{1}{3}\right).\left(-\dfrac{-6}{4}\right)\)
\(=\left(-\dfrac{7}{3}\right).\dfrac{3}{2}=-\dfrac{7}{2}\)
B=\(1+3^2+3^4+...+3^{100}\)
9B=\(3^2+3^4+...+3^{100}\)
9B-B=\(\left(3^2+3^4+...+3^{102}\right)-\left(1+3^2+3^4+...+3^{100}\right)\)
8B=\(3^{102}-1\)
B=\(\left(3^{102}-1\right):8\)
C=\(1+5^3+5^6+...+5^{99}\)
125C=\(5^3+5^6+5^9+...+5^{102}\)
125C-C=\(\left(5^3+5^6+5^9+...+5^{102}\right)-\left(1+5^3+5^6+...+5^{99}\right)\)
124C=\(5^{102}-1\)
C=\(\left(5^{102}-1\right):124\)
a) =3/11(-5/12+-7/12)-4/15
= 3/11.(-1)-4/15
=(-3)/11-4/15
=-89/165
a)
\(=\frac{3}{11}\left(\frac{-5}{12}+\frac{-7}{12}\right)-\frac{4}{15}\)
\(=\frac{3}{11}\left(\frac{-12}{12}\right)-\frac{4}{15}\)
\(=\frac{3}{11}\left(-1\right)-\frac{4}{15}\)
\(=\frac{3}{11}-\frac{4}{15}\)
\(=\frac{-89}{165}.\)
Bài 2:
a: \(=7^4\left(7^2+7-1\right)=7^4\cdot55⋮55\)
b: \(5A=5+5^2+...+5^{51}\)
\(\Leftrightarrow4A=5^{51}-1\)
hay \(A=\dfrac{5^{51}-1}{4}\)
Bài 3:
\(S=\left(1^2+2^3+3^3+...+10^2\right)\cdot2=385\cdot2=770\)
X + \(\frac{5}{2}\)x \(\frac{2}{3}\)= \(\frac{5}{2}\)
X + \(\frac{5}{3}\) = \(\frac{5}{2}\)
X = \(\frac{5}{2}\)- \(\frac{5}{3}\)
X = \(\frac{5}{6}\)
~ Hok T ~
x + 5/2 x 2/3 = 5/2
x + 10/6 = 5/2
x = 5/2 - 10/6
x = 5/6
Ai trên 10 SP k tui ikkkkkkkk
\(\left(6:3,5-1\dfrac{1}{6}\times\dfrac{6}{7}\right):\left(4,2\times\dfrac{10}{11}+5\dfrac{2}{11}\right)\\ =\left(\dfrac{12}{7}-\dfrac{7}{6}\times\dfrac{6}{7}\right):\left(\dfrac{21}{5}\times\dfrac{10}{11}+\dfrac{57}{11}\right)\\ =\left(\dfrac{17}{7}-1\right):\left(\dfrac{42}{11}+\dfrac{57}{11}\right)\\ =\dfrac{10}{7}:9\\ =\dfrac{10}{63}\)
\(\left(6:\dfrac{3}{5}-1\dfrac{1}{6}\times\dfrac{6}{7}\right):\left(4,2\times\dfrac{10}{11}+5\dfrac{2}{11}\right)\)
\(=\left(6\times\dfrac{5}{3}-\dfrac{7}{6}\times\dfrac{6}{7}\right):\left(\dfrac{21}{5}\times\dfrac{10}{11}+\dfrac{57}{11}\right)\)
\(=\left(10-1\right):\left(\dfrac{42}{11}+\dfrac{57}{11}\right)=9:9=1\)
a) 1/7 + 2/7 + 3/7 + 4/7 + 5/7 +6/7 = 3
b) 1/2 + 2/4 + 3/6 + 4/8 + 5/10 + 6/12 = 3
63x52x(\(\dfrac{5}{6}\))3=52x53=55.