Thứ tự thực hiện các phép tính
(5^15.3+2.5^15):5^16
(6^16.4+2.6^16):6^17
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a)
\(2.6^2.3.6^4\text{:}6^5\)
\(=6.6^6.6^5\)
\(=6^7:6^5\)
\(=6^2=36\)
b) \(8.2^5.16:2^{11}\)
\(=2^3.2^5.2^4:2^{11}\)
\(=2^8.2^5:2^{11}\)
\(=2^{12}:2^{11}\)
\(=2\)
c) \(\left(4^4.16\right):\left(4^3.4\right)\)
\(=\left(4^4.4^2\right):4^4\)
\(=4^6:4^4\)
\(=4^2=16\)
a) \(...=2.2^2.3^2.3.2^4.3^4:\left(2^5.3^5\right)=2^7.3^7:2^5.3^5=2^2.3^2=4.9=36\)
b) \(...=2^3.2^5.2^4:2^{11}=2^{12}:2^{11}=2\)
c) \(...=2^8.2^4:\left(2^6.2^2\right)=2^{12}:2^8=2^4=16\)
d) \(...=5.5^3.5^2:5^6=5^6:5^6=1\)
\(\frac{3}{5}:\left(-\frac{1}{15}-\frac{1}{6}\right)+\frac{3}{5}:\left(-\frac{1}{3}-\frac{16}{15}\right)\)
\(=\frac{3}{5}:\left(-\frac{7}{30}\right)+\frac{3}{5}:\left(-\frac{7}{5}\right)\)
\(=\frac{3}{5}.\left(-\frac{30}{7}\right)+\frac{3}{5}.\left(-\frac{5}{7}\right)\)
\(=\frac{3}{5}\left(-\frac{30}{7}-\frac{5}{7}\right)\)
\(=\frac{3}{5}.\left(-\frac{35}{7}\right)\)
\(=-3\)
a) 16.4 = 64
b) (-125).(-6) = 750
c) (-23).(-11) = 253
d) (-200).(-5) = 1000
a) 16.4 = 64
b) (-125).(-6) = 750
c) (-23).(-11) = 253
d) (-200).(-5) = 1000
Câu 9
a) 2/15 + (-3/5)
= 2/15 - 3/5
= 2/15 - 9/15
= -7/15
b) -5/7 + 3/7 . (-2/9)
= -5/7 - 2/21
= -15/21 - 2/21
= -17/21
c) 5/16 - (7/15 - 3/16) + 17/30
= 5/16 - 7/15 + 3/16 + 17/30
= (5/16 + 3/16) + (17/30 - 14/30)
= 1/2 + 1/10
= 5/10 + 1/10
= 6/10
= 3/5
\(a,\dfrac{2}{15}+\left(-\dfrac{3}{5}\right)\\ =\dfrac{2}{15}-\dfrac{3}{5}\\ =\dfrac{2}{15}-\dfrac{9}{15}\\ =-\dfrac{7}{15}\\ b,-\dfrac{5}{7}+\dfrac{3}{7}\times\left(-\dfrac{2}{9}\right)\\ =-\dfrac{5}{7}-\dfrac{2}{21}\\ =-\dfrac{15}{21}-\dfrac{2}{21}\\ =-\dfrac{17}{21}\\ c,\dfrac{5}{16}-\left(\dfrac{7}{15}-\dfrac{3}{16}\right)+\dfrac{17}{30}\\ =\dfrac{5}{16}-\dfrac{7}{15}+\dfrac{3}{16}+\dfrac{17}{30}\\ =\left(\dfrac{5}{16}+\dfrac{3}{16}\right)-\left(\dfrac{17}{15}+\dfrac{17}{30}\right)\\ =\dfrac{1}{2}-\dfrac{17}{10}\\ =\dfrac{5}{10}-\dfrac{17}{10}\\ =-\dfrac{6}{5}.\)