Answer:

Áp dụng: \(x^n.x^m=x^{n+m}\)

\(x^2.x^5=x^{2+5}=x^7\)

2⁵ . 4³ = 2⁵ . (2²)³ = 2⁵ . 2⁶ = 2^{5 + 6} = 2¹¹

\(2^{11}\)

\(2^5\cdot4^3=2^5\cdot2^6=2^{11}\)

giúp mình với mình sắp thi giữa kì rồi

36³

<img src=https://hoc24.vn/images/avt/avt30201979_256by256.jpg><img src=https://hoc24.vn/images/avt/avt30201979_256by256.jpg>

\(5^{12}.25^4.125^3.625^2=5^{12}.\left(5^2\right)^4.\left(5^3\right)^3.\left(5^4\right)^2=5^{12}.5^8.5^9.5^8=5^{37}\)

\(2^7.5^7=\left(2.5\right)^7=10^7\)

Cảm ơn bn 

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.

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

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

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

còn bài 2

a)3³.3⁴=3³⁺⁴=3⁷

b)5².5⁷=5²⁺⁷=5⁹

c)7⁵.7=7⁵⁺¹=7⁶

=3^3.3^4=3^12

b)5^2.5^7=5^14

c)7^5.7^1=7^5

3³ x 3⁴ = 3³⁺⁴=3⁷

5² x 5⁷ =5²⁺⁷=5⁹

7⁵ x 7 = 7⁵ x 7¹=7⁵⁺¹=7⁶

\(a,3^6\cdot3^7=3^{6+7}=3^{13}\)

\(b,5\cdot5^4\cdot5^2\cdot5^5=5^{1+4+2+5}=5^{12}\)

\(c,a^4\cdot a^5\cdot a^{10}=a^{4+5+10}=a^{19}\)

\(d,x^{10}\cdot x^4\cdot x=x^{10+4+1}=x^{15}\)

\(e,3\cdot3\cdot3\cdot9=3^3\cdot3^2=3^5\)

\(f,a^2\cdot a\cdot a\cdot a\cdot a\cdot a\cdot a=a^{2+1+1+1+1+1+1}=a^8\)

a: 3^6*3^7=3^13

b: \(=5^{1+4+2+5}=5^{11}\)

c: \(=a^{4+5+10}=a^{19}\)

d: \(=x^{10+4+1}=x^{15}\)

e: \(=3^3\cdot3^2=3^5\)

f: \(=a^2\cdot a^6=a^8\)