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* \(21.15=315\)
* \(275+498=773\)
Nếu so sánh thì ta thấy: \(315< 773\)
Nên \(21.15< 275+498\)
Chúc bạn học tốt và tíck cho mìk vs nha hoanganh!
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2115 = (7.3)15 = 715.315
275.498 = (33)5.(72)8 = 315.716 = 7.315.715 > 315.715 = 2115
=> 275.498 > 2115.
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a) Ta có:
5²³ = 5.5²²
Do 6 > 5 nên 6.5²² > 5.5²²
Vậy 6.5²² > 5²³
b) Ta có:
2¹⁶ = 2³.2¹³ = 8.2¹³
Do 8 > 7 nên 8.2¹³ > 7.2¹³
Vậy 2¹⁶ > 7.2¹³
c) Ta có:
21¹⁵ = (3.7)¹⁵ = 3¹⁵.7¹⁵
27⁵.49⁸ = (3³)⁵.(7²)⁸ = 3¹⁵.7¹⁶
Do 16 > 15 nên 7¹⁶ > 7¹⁵
⇒ 3¹⁵.7¹⁶ > 3¹⁵.7¹⁵
Vậy 27⁵.49⁸ > 21¹⁵
a: 5^23=5*5^22<6*5^22
=>6*5^22 lớn hơn
b: 7<8
=>7*2^13<8*2^13=2^16
=>2^16 lớn hơn
c: 21^15=3^15*7^15
27^5*49^8=3^15*7^16
mà 15<16
nên 27^5*49^8 lớn hơn
![](https://rs.olm.vn/images/avt/0.png?1311)
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a) C = 1/3 + 1/15 + ... + 1/2115
= 1/(1.3) + 1/(3.5) + ... + 1/(45.47)
= 1/2 . (1 - 1/3 + 1/3 - 1/5 + ... + 1/45 - 1/47}
= 1/2 . (1 - 1/47)
= 1/2 . 46/47
= 23/47
\(C=\dfrac{1}{3}+\dfrac{1}{15}+...+\dfrac{1}{2115}\\ \\ \\ \\ \\ C=\dfrac{1}{1.3}+\dfrac{1}{3.5}+\dfrac{1}{5.7}+...+\dfrac{1}{45.47}\\ \\ \\ \\ \\ \Rightarrow2C=\dfrac{2}{1.3}+\dfrac{2}{3.5}+\dfrac{2}{5.7}+...+\dfrac{2}{45.47}\\ \\ \\ \\ \\ 2C=\dfrac{1}{1}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+...+\dfrac{1}{45}-\dfrac{1}{47}\\ \\ \\ \\ \\ 2C=\dfrac{1}{1}-\dfrac{1}{47}=\dfrac{46}{47}\\ \\ \\ \\ \\ \Rightarrow C=\dfrac{46}{47}:2\\ \\ \\ \\ \\ C=\dfrac{46}{47}\cdot\dfrac{1}{2}=\dfrac{23}{47}\)
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17 x ( 117 - 498) - 117 x ( 17 - 498)
= 17 x 117 - 17 x 498 - 117 x 17 +117 x 498
= ( 17 x 117 - 17 x 117 ) + (117 x 498 - 17 x 498)
= 0 + 498 x ( 117 - 17)
= 498 x 100
= 49800
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120:x dư 8 =>120-8 chia hết cho x =>112 chia hết cho x
498:x dư 8 =>498-8 chia hết cho x =>490 chia hết cho x
=>X\(\in\)ƯC(112,490)
Mà x lớn nhất
=>X\(\in\)ƯCLN(112,490)
112=2\(^4\).7
490=2.5.7
=>X=ƯCLN(112,490)=2.7=14
Nhớ k cho mk nha
21\(^{15}\) = ( 3.7 )\(^{15}\) = 3\(^{15}\).7\(^{15}\)
27\(^5\).49\(^8\)= ( 3\(^3\))\(^5\).(7\(^2\))\(^8\)= 3\(^{15}\).7\(^{16}\)
For 15 < 16 candle 7\(^{15}\)< 7\(^{16}\) = > 3\(^{15}\).7\(^{15}\)< 3\(^{15}\).7\(^{16}\)
Or 21\(^{15}\)< 27\(^5\).49\(^8\)