Tính nhanh
-175-(-7.5\(^2\)+4.2\(^3\))
(-27)+20+(-9)+27+(-11)
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tính nhanh
7.5+9.[(-3)-(-27)]
tớ Đố bạn câu này 97,5-865=?????
tính nhanh ( 27 - 11 ) + ( 20 - 9- 27 )
( 27 - 11 ) + ( 20 - 9 - 27 )
= 27 - 11 + 20 - 9 - 27
= (27 - 27) + 20 - (11 + 9)
= 20 - 20 = 0
= (27 - 11) +(20+9-27)
= (27 - 27) + (11+9) +20
= 0 + 20 + 20
= 0+40
=40
tính nhanh: 7.5+9[(-3)-(-27)]
7.5 + 9 . [(-3) - (-27)]
= 16.5 . 24
= 396
7.5+9[(-3)-(-27)]
= 7.5+9.24
= 35+216
= 251.
tinh nhanh (-27)+20+(-9)+27+(-11)
=[(-27)+27]+[20+(-9)+(-11)] = 0+ 0=0
1,Tính : ( Hãy tính nhanh nếu có thể )
a,\(\frac{3^6.45^4-15^{13}.\left(\frac{1}{5}\right)^9}{27^4.25^3+45^6}\)
b,\(\frac{\left(\frac{2}{5}\right)^7.5^7+\left(\frac{9}{4}\right)^3:\left(\frac{3}{16}\right)^3}{2^7.5^2+512}\)
Tính:
a) \(\dfrac{3^6.45^4-15^{13}.5^{\cdot-9}}{27^4.25^3+45^6}\)
b) \(\dfrac{\left(\dfrac{2}{5}\right)^7.5^7+\left(\dfrac{9}{4}\right)^3:\left(\dfrac{3}{16}\right)^3}{2^7.5^2+512}\)
\(a,=\dfrac{3^6\cdot5^4\cdot9^4-5^{13}\cdot3^{13}\cdot5^{-9}}{3^{12}\cdot5^6+9^6\cdot5^6}=\dfrac{3^{14}\cdot5^4-5^4\cdot3^{13}}{3^{12}\cdot5^6+3^{12}\cdot5^6}\\ =\dfrac{3^{13}\cdot5^4\cdot2}{2\cdot3^{12}\cdot5^6}=\dfrac{3}{5^2}=\dfrac{3}{25}\)
\(b,=\dfrac{\left(\dfrac{2}{5}\cdot5\right)^7+\left(\dfrac{9}{4}\cdot\dfrac{16}{3}\right)^3}{2^7\cdot5^2+2^9}=\dfrac{2^7+12^3}{2^7\left(5^2+2^2\right)}=\dfrac{2^7+4^3\cdot3^3}{2^7\cdot29}=\dfrac{2^6\left(2+3^3\right)}{2^7\cdot29}=\dfrac{1}{2}\)
a) \(\dfrac{3^6\cdot3^8\cdot5^4-5^{13}\cdot3^{13}\cdot5^{-9}}{3^{12}\cdot5^6+3^{12}\cdot5^6}=\dfrac{3^{14}\cdot5^4-3^{13}\cdot5^4}{3^{12}\cdot5^6\cdot2}=\dfrac{3^{12}\cdot5^4\left(3^2-3\right)}{3^{12}\cdot5^6\cdot2}=\dfrac{3^2-3}{5^2\cdot2}=\dfrac{6}{50}=\dfrac{3}{25}\)
\(\frac{9^3.2^{10}.27^5}{4^5.81^6}\)
\(\frac{27^4.2^5-3^{11}.4^3}{8^2.9^6}\)
\(\frac{9^3\cdot2^{10}\cdot27^5}{4^5\cdot81^6}=\frac{3^6\cdot2^{10}\cdot3^{15}}{2^{10}\cdot3^{24}}=\frac{1}{3^3}=\frac{1}{27}\)
\(\frac{27^4\cdot2^5-3^{11}\cdot4^3}{8^2\cdot9^6}=\frac{3^{12}\cdot2^5}{2^6\cdot3^{12}}-\frac{3^{11}\cdot2^6}{2^6\cdot3^{12}}=\frac{1}{2}-\frac{1}{3}=\frac{1}{6}\)
=))
a) \(\frac{9^3.2^{10}.27^5}{4^5.81^6}\)= \(\frac{\left(3^2\right)^3.2^{10}.\left(3^3\right)^5}{\left(2^2\right)^5.\left(3^4\right)^5}\)= \(\frac{3^{2.3}.2^{10}.3^{3.5}}{2^{2.5}.3^{4.5}}\)= \(\frac{3^6.2^{10}.3^{15}}{2^{10}.3^{20}}\)= \(\frac{3^{21}.2^{10}}{2^{10}.3^{20}}\)= \(\frac{3^{20}.2^{10}.3}{2^{10}.3^{20}}\)= \(3\)
\(a,\frac{9^3\cdot2^{10}\cdot27^5}{4^5\cdot81^6}\)
\(=\frac{\left[3^2\right]^3\cdot\left[2^2\right]^5\cdot\left[3^3\right]^5}{\left[2^2\right]^5\cdot\left[3^4\right]^6}\)
\(=\frac{3^6\cdot2^{10}\cdot3^{15}}{2^{10}\cdot3^{24}}=\frac{3^6\cdot3^{15}}{3^{24}}=\frac{3^{21}}{3^{24}}=3^{21-24}=3^{-3}=\frac{1}{27}\)
b, Như bạnThảo Nguyễn 緑
Tính nhanh
1/3 + 1/9 + 1/27 + 1/81 + 1/243 + 1/729
9/20 - 11/30 + 13/42 - 15/56 + 17/72 - ........ + 197/9702 - 199/9900
Tính nhanh;
a)(-25).68 + (-34).(-250)
b)7.5 + 9.[(-3)-(-27)]
a, (-25) .68 + (-34).(-250)
= -1700 + 8500
= 6800
b, 7.5 + 9 . [(-3) - (-27)]
= 16.5 . 24
= 396