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1) \(15^{40}=15^{4.10}=\left(15^4\right)^{10}=50625^{10}\)
\(18^{30}=18^{3.10}=\left(18^3\right)^{10}=5832^{10}\)
Vì \(50625^{10}>5832^{10}\) Nên \(15^{40}>18^{30}\)
2)\(180^{300}=180^{3.100}=\left(18^3\right)^{100}=5832^{100}\)
Vì \(2015^{100}<5832^{100}\) Nên \(2015^{100}<180^{300}\)
d) Ta có: \(-8+\left(-14\right)+34+\left(-12\right)\)
\(=-8-14+34-12\)
\(=-20+20\)
\(=-0\)
e) Ta có: \(\left(-7\right)+\left(-20\right)+57+\left(-30\right)\)
\(=\left(-7+57\right)+\left(-20-30\right)\)
\(=50-50=0\)
f) Ta có: \(300-\left(-180\right)-120-42\)
\(=300+180-120-42\)
\(=258+60=318\)
d, Ta có : \(\left(-8\right)+\left(-14\right)+34+\left(-12\right)\)
\(=-\left(8+12\right)+34-14=-20+20=0\)
e, Ta có : \(\left(-7\right)+\left(-20\right)+57+\left(-30\right)\)
\(=-\left(30+20\right)+57-7=-50+50=0\)
f, Ta có : \(300-\left(-180\right)-120-42=318\)
a) Ta có:
\(15⋮3\)
\(21⋮3\) => A \(⋮\)3
\(180⋮3\)
b) Ta có:
51 \(⋮\)3
34 \(⋮̸\)3 => B \(⋮̸\)3
75 \(⋮\)3
c) Ta có:
11 \(⋮̸\)3
25 \(⋮̸\)3
120 \(⋮\)3
11 : 3 = 3 ( dư 2 )
25 : 3 = 8 ( dư 1 )
Mà 2 + 1 = 3 \(⋮\)3
=> C \(⋮\)3
5.9 > 0
(-9).(-7). >.9
(-22).(-21)>420
(-21 ).(-5)..>... (-34).(-3)
(-3.(-47)..>.15
(-12).(-8)...>.90
(-18).(-21)..>..300
(-47).(-12)..<..(-27).(-22)
(-3).(-2).>..-3
(-15).(-28)..>..400
(-22).(-21)..>..320
(-17).(-3)...>...23.2
hok tốt!!!
\(180:\left\{300:\left[450-\left(4.5^3-2^2.25\right)\right]\right\}\\ =180:\left\{300:\left[450-\left(4.125-4.25\right)\right]\right\}\\ =180:\left\{300:\left[450-\left(500-100\right)\right]\right\}\\ =180:\left\{300:\left[450-400\right]\right\}\\ =180:\left\{300:50\right\}\\ =180:6\\ =30\)
\(180:\left\{300:\left[450-\left(4.5^3-2^2.25\right)\right]\right\}\\ =180:\left\{300:\left[450-\left(4.125-4.25\right)\right]\right\}\\ =180:\left\{300:\left[450-\left(4.100\right)\right]\right\}\\ =180:\left\{300:\left[450-400\right]\right\}\\ =180:\left\{300:50\right\}\\ =180:6\\ =30\)
180 : { 300 : [ 450 - ( 4 . 53 - 22 . 25 )]}
= 180 : { 300 : [ 450 - ( 4 . 125 - 4 . 25 )]}
= 180 : { 300 : [ 450 - ( 500 - 100 )]}
= 180 : { 300 : 50 }
= 180 : 6
= 30
180: ( 300: ( 450 - (4 x 53 - 22x 25)))
=180: ( 300: ( 450 - ( 500 - 100 )))
=180: ( 300: ( 450 - 400 ))
=180: ( 300: 50)
=180: 6 = 30a)\(\frac{7}{13}.\frac{7}{15}-\frac{5}{12}.\frac{21}{39}+\frac{49}{21}.\frac{8}{15}\)
=\(\frac{7}{13}.\frac{7}{15}-\frac{5}{12}.\frac{7}{13}+\frac{7}{13}.\frac{8}{15}\)
=\(\frac{7}{13}.\left(\frac{7}{15}-\frac{5}{12}-\frac{8}{15}\right)\)
=\(\frac{7}{13}.\frac{7}{12}\)
=\(\frac{49}{156}\)
b)\(\left(\frac{12}{199}+\frac{23}{200}-\frac{34}{201}\right).\left(\frac{1}{2}-\frac{1}{3}-\frac{1}{6}\right)\)
=\(a.\left(\frac{3}{6}-\frac{2}{6}-\frac{1}{6}\right)\)
=a . 0
=0
Bài 2
a)Có
\(3^{200}=3^{2.100}=\left(3^2\right)^{100}=9^{100}\)
\(2^{300}=2^{3.100}=\left(2^3\right)^{100}=8^{100}\)
Vì 8<9 =>\(8^{100}< 9^{100}\) =>\(3^{200}>2^{300}\)
300 : { 180 - ( 34 + (15 -3)2 }
300 : { 180 - ( 34 + 144)}
300 : { 180 - 178}
300 : 2
= 150