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\(\left(6^{2007}-6^{2006}\right):6^{2006}\\ =6^{2007}:6^{2006}-6^{2006}:6^{2006}\\ =6^{2007-2006}-6^{2006-2006}\\ =6^1-6^0\\ =6-1=5\)
a) \(\left(7^5+7^9\right)\left(5^4+5^6\right)\left(3^3.3-9^2\right)=\left(7^5+7^9\right)\left(5^4+5^6\right)\left[3^4-\left(3^2\right)^2\right]=\left(7^5+7^9\right)\left(5^4+5^6\right)\left(3^4-3^4\right)=\left(7^5+7^9\right)\left(5^4+5^6\right).0=0\)
đặt A với biểu thức trên
A=\(\frac{1}{3x6}\)+\(\frac{1}{6x9}\)+......+\(\frac{1}{30x33}\)
Nhân cả 2 vế với 3 ta có
A x 3 = \(\frac{3}{3x6}\)+....+\(\frac{3}{30x33}\)
A x 3 = \(\frac{1}{3}\)-\(\frac{1}{6}\)+....+\(\frac{1}{30}\)-\(\frac{1}{33}\)
A x 3 = \(\frac{1}{3}\)-\(\frac{1}{33}\)
A x 3 = \(\frac{10}{33}\)
A = \(\frac{10}{33}\):3
A= \(\frac{10}{99}\)
\(\left(9^{2018}-3^{4036}\right):6^{2006}\\ \Rightarrow\left[\left(3^2\right)^{2018}-3^{4036}\right]:6^{2006}\\ \Rightarrow\left(3^{4036}-3^{4036}\right):6^{2006}\\ \Rightarrow0:6^{2006}\\ \Rightarrow0\)
\(=\dfrac{\left(3^2\right)^{2018}-3^{4036}}{6^{2006}}=\dfrac{3^{4036}-3^{4036}}{6^{2006}}=0\)
\(A=47.36+64.47+15\)
\(A=47.\left(36+64\right)+15\)
\(A=47.100+15\)
\(A=4700+15\)
\(A=4715\)
\(B=27+35+65+73+75\)
\(B=\left(27+73\right)+\left(35+65\right)+75\)
\(B=100+100+75\)
\(B=275\)
\(C=37+37.15+84.37\)
\(C=37.\left(1+15+84\right)\)
\(C=37.100\)
\(C=3700\)
\(D=\frac{1}{20.21}+\frac{1}{21.22}+\frac{1}{22.23}+\frac{1}{23.24}\)
\(D=\frac{1}{20}-\frac{1}{21}+\frac{1}{21}-\frac{1}{22}+\frac{1}{22}-\frac{1}{23}+\frac{1}{23}-\frac{1}{24}\)
\(D=\frac{1}{20}-\frac{1}{24}\)
\(D=\frac{24}{480}-\frac{20}{480}\)
\(D=\frac{4}{480}=\frac{1}{120}\)
\(E=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{49.50}\)
\(E=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{49}-\frac{1}{50}\)
\(E=1-\frac{1}{50}\)
\(E=\frac{49}{50}\)
\(276+\left(56-x\right)=1339-13\)
\(276+\left(56-x\right)=1326\)
\(56-x=1326-276\)
\(56-x=1050\)
\(x=56-1050\)
\(x=-994\)
276+(56-x) = 1339-13
276+(56-x ) = 1326
56-x = 1326 = 176
56-x = 1050
x = 56 - 1050
x = -994
chúc bạn học tốt
Ta thấy 21.23.25=12075
nên ba số lẻ liên tiếp đó là 21,23,25
Đơn giản thế thôi bạn nha
a) (3⁵ . 3⁷) : 3¹⁰ + 5 . 2⁴ - 7³ : 7
= 3¹² : 3¹⁰ + 5.16 - 7²
= 3² + 80 - 49
= 9 + 31
= 40
b) (7⁵ + 7⁹) . (5⁴ + 5⁶) . (3³.3 - 9²)
= (7⁵ + 7⁹) . (5⁴ + 5⁶) . (81 - 81)
= (7⁵ + 7⁹) . (5⁴ + 5⁶) . 0
= 0
(62007 - 62006):62006 =62007:62006-62006:62006=6-1=5
\(\left(6^{2007}-6^{2006}\right):6^{2006}\)
\(=6^{2007}:6^{2006}-6^{2006}:6^{2006}\)
\(=6^{2007-2006}-1\)
\(=6^1-1\)
\(=6-1\)
\(=5\)
\(\left(7^3+7^5\right).\left(5^4+5^6\right).\left(3^3.3-9^2\right)\)
\(=\left(7^3+7^5\right).\left(5^4+5^6\right).\left(3^{3+1}-9^2\right)\)
\(=\left(7^3+7^5\right).\left(5^4+5^6\right).\left(3^4.9^2\right)\)
\(=\left(7^3+7^5\right).\left(5^4+5^6\right).\left[3^4-\left(3^2\right)^2\right]\)
\(=\left(7^3+7^5\right).\left(5^4+5^6\right).\left(3^4-3^4\right)\)
\(=\left(7^3+7^5\right).\left(5^4+5^6\right).0\)
\(=0\)