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a)\(\left(10^2+11^2+12^2\right)\div\left(13^2+14^2\right)\)

\(=\left(100+121+144\right)\div\left(169+196\right)\)

\(=365\div365\)

\(=1\)

b) \(1.2.3...9-1.2.3...8-1.2.3...8^2\)

\(=1.2.3...8\left(9-1-8\right)\)

\(=1.2.3...8.0\)

\(=0\)

d) \(1152-\left(374+1152\right)+\left(-65+374\right)\)

\(=1152-374-1152-65+374\)

\(=\left(1152-1152\right)-65+\left(374-374\right)\)

\(=0-65+0\)

\(=-65\)

e) \(13-12+11+10-9+8-7-6+5-4+3+2-1\)

\(=13-\left(12-11\right)+\left(10-9\right)+\left(8-7\right)-\left(6-5\right)-\left(4-3\right)\)\(+\left(2-1\right)\)

\(=13-1+1+1-1-1+1\)

\(=13+0+0+0\)

\(=13\)

a) \(\frac{16.64.8^2}{4^3.2^5.16}=\frac{16.4^3.\left(2^3\right)^2}{4^3.2^5.16}=\frac{16.4^3.2^6}{4^3.2^5.16}=2\)

\(\frac{64^2.81^3.34}{2^{13}.3^9.17}=\frac{\left(2^6\right)^2.\left(3^4\right)^3.2.17}{2^{13}.3^9.17}=\frac{2^{13}.3^{12}.17}{2^{13}.3^9.17}=3^3=27\)

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mik ko biết

mong bn thông cảm !$$%

Bài 1: Tính bằng 2 cách:

a) 2^5 : 2^4

= 2

b) 3^4 : 3^2

= 3

c) 6^3 : 6^2

= 6

d) 8^4 : 8^2

= 8^2

= 64

e) 7^5 : 7^4

= 7

f) 100^3 : 100

= 100^2

= 10000

Bài 2: Tìm số tự nhiên x, biết:

a) 2^x = 16

2^x = 2^4

x = 4

Vậy x = 4

b) 3^x = 243

3^x = 3^5

x = 5

Vậy x = 5

c) 5^x+1 = 125

5^x + 1 = 5^3

x + 1 = 3

x = 3 - 1

x = 2

Vậy x = 2

em ơi chị xin lỗi chị bik nhưng mỏi tay lắm