nhanh mk cần gấp

7⁹x 7¹¹ + 7²⁹ = 7²⁰ + 7²⁹ = 7²⁰.(1 + 7⁹) 

\(\dfrac{2^3.9^4+9^3.45}{9^2.10-9^3.3}\)

\(=\dfrac{2^3.3^8+3^6.3^2.5}{3^4.2.5-3^7}\)

\(=\dfrac{2^3.3^8+3^8.5}{3^4.2.5-3^7}\)

\(=\dfrac{3^8\left(2^3+5\right)}{3^4\left(2.5-3^3\right)}\)

\(=\dfrac{3^4.13}{-17}\)

    (2³.9⁴ +9³.45): (9².10- 9³.3)

= (2³.9⁴ + 9⁴.5): {9².( 10 -27)}

= 9⁴.(8+5):(9².(-17))

= -9².13: 17

=-1053/17

\(a,118:\left(x-35\right)+18=20\)

\(118:\left(x-35\right)=2\)

\(x-35=59\)

\(x=94\)

\(b,95-5\left(x+2\right)=45\)

\(5\left(x+2\right)=40\)

\(x+2=8\)

\(x=6\)

\(\left(100-30\right)^2=100^2+30^2-2.100.30< 100^2+30^2\)

=10300

=4900

\(\left(3x-6\right)3=34\\ \Leftrightarrow3x-6=\dfrac{34}{3}\\ \Leftrightarrow3x=\dfrac{34}{3}+6\\ \Leftrightarrow3x=\dfrac{52}{3}\\ \Rightarrow x=\dfrac{52}{3}:3=\dfrac{52}{9}\)

(3x-6).3=34

3x-6=34/3

3x=34/3+6

3x=52/3

x=52/3:3

x=52/3x1/3

x=52/9

vậy x =52/9

HT

\(P=1-2+2^2-2^3+...-2^{99}+2^{100}\)

\(2P=2-2^2+2^3-2^4+...-2^{100}+2^{101}\)

\(\Rightarrow2P+P=3P=1+2^{101}\)

\(\Rightarrow P=\dfrac{1+2^{101}}{3}\)

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Đề yêu cầu gì em?

 Giúp mik câu này đi

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Bài à ơi tay mẹ nhé mn

2003 là số nguyên tố vì nó chỉ có 2 ước 1 và chính nó.

`2003` là số nguyên tố.

 Vì số này chỉ có hai `Ư` là chính nó và `1`

\(5^{75}=\left(5^5\right)^{15}=3125^{15}\\ 7^{60}=\left(7^4\right)^{15}=2401^{15}\\3125^{15}> 2401^{15}\Rightarrow5^{75}>7^{60}\)