Các bạn giải chi tiết giùm mình nha.thank nhiều
d)(3^2)^4:(3^3)^2
c)(2^3)^5:(2^3)^3
b) (a^6)^4 :a^12
a) (a^5)^7
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a, \(\frac{5}{6}\) + \(\frac{7}{8}\) = \(\frac{5x8}{6x8}\) + \(\frac{7x6}{8x6}\) = \(\frac{40}{48}\) + \(\frac{42}{48}\) = \(\frac{82}{48}\) = \(\frac{41}{24}\)
b, \(4\frac{2}{3}\) x \(2\frac{3}{5}\) = \(\frac{4x3+2}{3}\) x \(\frac{2x5+3}{5}\) = \(\frac{14}{3}\) x \(\frac{13}{5}\) = \(\frac{14x13}{3x5}\) = \(\frac{182}{15}\)
c, \(4\frac{3}{4}\) - \(3\frac{2}{3}\) : \(\frac{11}{6}\) = \(\frac{4x4+3}{4}\) - \(\frac{3x3+2}{3}\) : \(\frac{11}{6}\) = \(\frac{19}{4}\) - \(\frac{11}{3}\) : \(\frac{11}{6}\) = \(\frac{19}{4}\) - \(\frac{11x6}{3x11}\) = \(\frac{19}{4}\) - \(\frac{66}{33}\) = \(\frac{19}{4}\) - \(\frac{2}{1}\) = \(\frac{19}{4}\) - \(\frac{2x4}{1x4}\) = \(\frac{19}{4}\) - \(\frac{8}{4}\) = \(\frac{11}{4}\)
Xong rồi bạn! Mong bạn phản hồi! Cảm ơn bạn! Chúc bạn học giỏi!
a) ta có: \(\frac{a}{4}=\frac{b}{5};\frac{b}{5}=\frac{c}{8}\)
\(\Rightarrow\frac{a}{4}=\frac{b}{5}=\frac{c}{8}=\frac{5a}{20}=\frac{3b}{15}=\frac{3c}{24}\)
ADTCDTSBN
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bn tự áp dụng rùi tìm a;b;c nha
b) ta có: \(\frac{a+3}{5}=\frac{b-2}{3}=\frac{c-1}{7}=\frac{3a+9}{15}=\frac{5b-10}{15}=\frac{7c-7}{49}\)
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có: \(\frac{3a+9}{15}=\frac{5b-10}{15}=\frac{7c-7}{49}=\frac{3a+9-5b+10+7c-7}{15-15+49}\)
\(=\frac{\left(3a-5b+7c\right)+\left(9+10-7\right)}{49}=\frac{86+12}{49}=\frac{98}{49}=2\)
=>...
c) ta cóL \(\frac{a}{7}=\frac{b}{6}\Rightarrow\frac{a}{35}=\frac{b}{30}\)
\(\frac{b}{5}=\frac{c}{8}\Rightarrow\frac{b}{30}=\frac{c}{48}\)
\(\Rightarrow\frac{a}{35}=\frac{b}{30}=\frac{c}{48}=\frac{2b}{60}\)
ADTCDTSBN
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các bài còn lại bn dựa vào mak lm nha!
A, 1-3+5-7+...+97-99+101
= (1-3)+(5-7)+.....+(97-99)+101
=-2+-2+-2+......+-2+101
* Có số số hạng = - 2 trong biểu thức trên là: (99-1):2 +1= 50 ( số)
= -2 x 50 + 101
= -100 +101
=1
b,
a) 1/7 . 5/6 + 1/7 . 1/6 + -8/7
= 1/7 . ( 5/6 + 1/6 ) + -8/7
= 1/7 . 1 + -8/7
= 1/7 + -8/7 = -1
b) 3/5 . -4/9 . 5/3 . 18/7
= ( 3/5 . 5/3 ) . ( -4/9 . 18/7 )
= 1 . -8/7 = -8/7
c) 1/2 + -3/4 . 16/9
= 1/2 + -4/3 = -5/6
d) ( 1/7 + 5/14 ) . -28/3
= 1/2 . -28/3 = -14/3
\(a\)) \(\left(4^2.4^3\right):2^{10}\)
\(=4^5:2^{10}\)
\(=\left(2^2\right)^5:2^{10}\)
\(=2^{10}:2^{10}\)
\(=1\)
\(b\)) \(\left(0,6\right)^5:\left(0,2\right)^6\)
\(=\left(\frac{3}{5}\right)^5:\left(\frac{1}{5}\right)^6\)
\(=\frac{3^5}{5^5}:\frac{1^6}{5^6}\)
\(=\frac{3^5}{5^5}.5^6\)
\(=\frac{3^5.5^6}{5^5}\)
\(=3^5.5\)
\(=243.5\)
\(=1215\)
\(c\)) \(\left(2^7.9^3\right):\left(6^5.8^2\right)\)
\(=\left[2^7.\left(3^2\right)^3\right]:\left[\left(2.3\right)^5.\left(2^4\right)^2\right]\)
\(=\left(2^7.3^6\right):\left[2^5.3^5.2^8\right]\)
\(=\left(2^7.3^6\right).\left(\frac{1}{2^5.3^5.2^8}\right)\)
\(=\frac{2^7.3^6.1}{\left(2^5.2^8\right).3^5}\)
\(=\frac{2^7.3^6}{2^{13}.3^5}\)
\(=\frac{3}{2^6}\)
\(=\frac{3}{64}\)
a. \(\left(a^5\right)^7=a^{5.7}=a^{35}\)
b. \(\left(a^6\right)^4:a^{12}=a^{6.4}:a^{12}=a^{24}:a^{12}=a^{24-12}=a^{12}\)
c.\(\left(2^3\right)^5:\left(2^3\right)^3=2^{3.5}:2^{3.3}=2^{15}:2^9=2^{15-9}=2^6=64\)
d. \(\left(3^2\right)^4:\left(3^3\right)^2=3^{2.4}:3^{3.2}=3^8:3^6=3^{8-6}=3^2=9\)