\(a,5^{200}:5^{13}=5^{200-13}=5^{187}\)

\(b,7^{2001}:7=7^{2001-1}=7^{2000}\)

\(c,16^{137}:4^2=16^{137}:16=16^{137-1}=16^{136}\)

\(d,\left(2^{48}\cdot2^5\right):\left(2^3\cdot2^{17}\right)=2^{48+5}:2^{3+17}=2^{53}:2^{10}=2^{53-10}=2^{43}\)

5²⁰⁰ : 5¹³ 

= 5¹⁸⁷

7²⁰⁰¹ : 7 

= 7²⁰⁰⁰

a) \(5^{200}:5^{13}=5^{200-13}=5^{187}\)

b) \(7^{2001}:7=7^{2001-1}=7^{2000}\)

c) \(16^{137}:4^2=16^{137}:16=16^{137-1}=16^{136}\)

d) \(\left(2^{48}.2^5\right):\left(2^3.2^{17}\right)=\left(2^{48+5}\right):\left(2^{3+17}\right)=2^{53}:2^{20}=2^{53-20}=2^{33}\)

_Chúc bạn học tốt_

5¹ . 5² . 5³. ... . 5²⁰⁰=5^{1+2+3+4...+200}

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

\(2^{11}\)

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

\(a,5\cdot p\cdot5\cdot p\cdot2q\cdot4q\)

\(=5^2\cdot p^2\cdot2\cdot q\cdot2^2\cdot q\)

\(=5^2\cdot2^3\cdot p^2\cdot q^2\)

\(b,a\cdot a+b\cdot b+c\cdot c\cdot c+d\cdot d\cdot d\cdot d\)

\(=a^2+b^2+c^3+d^4\)

#Urushi

\(2^4.5^4\)=\((2.5)^4\)=\(10^4\)

10^4 nha bạn

10000

\(3^5\cdot4^5\)

\(=\left(3\cdot4\right)^5\)

\(=12^5\)

=12^5

3⁵ . 4⁵ = ( 3 . 4 )⁵ = 12⁵

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

36³

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

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