a) 3.3^4.3^5 = 3^10

b) 7^3 : 7^2 : 7 = 7^1

c) (x^4)^3 = x^12

Câu 9: C

Câu 10: C

9C 10D

9C

10D

1.
a) \(3^4\times3^5\times3^6=3^{4+5+6}=3^{15}\)

b) \(5^2\times5^4\times5^5\times25=5^2\times5^4\times5^5\times5^2=5^{2+4+5+2}=5^{13}\)

c) \(10^8\div10^3=10^{8-3}=10^5\)

d) \(a^7\div a^2=a^{7-2}=a^5\)

2.

\(987=900+80+7\\ =9\times100+8\times10+7\\ =9\times10^2+8\times10^1+7\times10^0\)

\(2021=2000+20+1\\ =2\times1000+2\times10+1\times1\\ =2\times10^3+2\times10^1+1\times10^0\)

\(abcde=a\times10000+b\times1000+c\times100+d\times10+e\times1\\ =a\times10^4+b\times10^3+c\times10^2+d\times10^1+e\times10^0\)

a,5 mũ 15

b,3 mũ 0=1

c,11 mũ 3

d,10 mũ 2

e,17 mũ 0=1

g,25 mũ 17

f,16 mũ 3

                                                           Chúc bạn học tốt,nhớ k cho mình nha

a,ko hỉu đề

b,1

c,11³

a) \(3^3 : 3^2\)=\(3^{3-2}=3^1\)

b) \(5^{4} : 5^{2}\)=\(5^{4-2}=5^2\)

c) \(8^{3} . 8^{2}\)=\(8^{3+2}=8^5\)

d) Cách 1:

\(5^{4} . 5^{3}: 5^{2}=5^{4+3}:5^2=5^7:5^2=5^{7-2}=5^5\)

Cách 2: 

\(5^{4} . 5^{3}: 5^{2}=5^{4+3-2}=5^5\)

thu gọn 7^3*7^5

cặk cặk

a. 2^3 . 2^2 . 2^4

= 2^9

b. 10^2 . 10^3 . 10^5

= 10^10

c. x. x^5

= x^6

d. a^3 . a^2 . a^5

= a^10

a) \(2^3.2^2.2^4\)

   \(=2^{3+2+4}\)

   \(=2^9\)

b) \(10^2.10^3.10^5\)

   \(=10^{2+3+5}\)

   \(=10^{10}\)

c) \(x.x^5=x^1.x^5=x^6\)

d) \(a^3.a^2.a^5=a^{3+2+5}=a^{10}\)

1. a) \(45x-37=53\)

\(45x=90\)

\(x=2\)

vay \(x=2\)

b) \(\frac{x}{9}+500=600\)

\(\frac{x}{9}=100\)

\(\frac{x}{9}=\frac{900}{9}\)

\(\Rightarrow x=900\)

vay \(x=900\)

c) \(576-x=139\)

\(x=576-139\)

\(x=437\)

vay \(x=437\)

d) \(\left(48+x\right)-27=79\)

\(48+x=79+27\)

\(48+x=106\)

\(x=58\)

vay \(x=58\)

2. \(2^5.2^7.2^9=2^{5+7+9}=2^{21}\)

 \(3^9.3^2.3=3^{9+2+1}=3^{12}\)

\(10^9:10^7=10^{10-7}=10^3\)

3). \(2.2.2.2.2.2=2^6\)

\(2.3.2.2.3.3.3=2^3.3^4\)

\(10.9.10.10.10.9.9=10^4.9^3\)

1 a) x= 720

b ) x=chín trăm 

c)x= 437

d)x=58

bài2   a)= 2²¹  b)3¹² c ) =10²  

bài 3 a)=2⁶ b)=2² nhân 3⁴ c )= 10³ nhân chín mũ 3 

1) 

g) \(24+5x\text{=}7^5:7^3\)

\(24+5x\text{=}7^{5-3}\)

\(24+5x\text{=}7^2\text{=}49\)

\(5x\text{=}49-24\text{=}25\)

\(x\text{=}5\)

h) \(x:2^2\text{=}2^3\)

\(x\text{=}2^3.2^2\)

\(x\text{=}2^5\text{=}32\)

2) 

a) \(2^{10}.8.2^3\text{=}2^{10}.2^3.2^3\text{=}2^{10+3+3}\text{=}2^{16}\)

\(b)3^5:27\text{=}3^5:3^3\text{=}3^{5-3}\text{=}3^2\)

\(c)5^2.125\text{=}5^2.5^3\text{=}5^{2+3}\text{=}5^5\)

\(d)6^6:36\text{=}6^6:6^2\text{=}6^{6-2}\text{=}6^4\)

1.

g) \(24+5x=7^5:7^3\left(=7^{5-3}\right)\) -> Trong ngoặc ko cần viết nha

\(24+5x=7^2=49\)

\(5x=49-24\)

\(5x=25\)

\(x=25:5\)

\(=>x=5\)

h) \(x:2^2=2^3\)

\(x=2^3.2^2\)

\(=>x=2^5\)

2.

a) \(2^{10}.8.2^3=2^{10}.\left(2^3\right)2^3=2^{10+3+3}=2^{16}\)

b) \(3^5:27=3^5:\left(3^3\right)=3^{5-3}=3^2\)

c) \(5^2.125=5^2.\left(5^3\right)=5^{2+3}=5^5\)

d) \(6^6:36=6^6:\left(6^2\right)=6^{6-2}=6^4\)

Công thức:

\(a^m.a^n=a^{m+n}\)

\(a^m:a^n=a^{m-n}\)

\(#Wendy.Dang\)