\(\frac{21^2.14.125}{35^3.6}=\frac{3^2.7^2.7.2.5^3}{5^3.7^3.2.3}=\frac{3^2.7^3.5^3.2}{3.7^3.5^3.2}=3\)

\(C=\frac{21^2.14.125}{35^3.6}\)

\(C=\frac{\left(3.7\right)^2.2.7.5^3}{\left(5.7\right)^3.2.3}\)

\(C=\frac{3^2.7^2.2.7.5^3}{5^3.7^3.2.3}\)

\(C=\frac{3^2.7^3.2.5^3}{5^3.7^3.2.3}=3\)

\(D=\frac{45^3.20^4.18^2}{180^5}\)

\(D=\frac{\left(5.3^2\right)^3.\left(2^2.5\right)^4.\left(2.3^2\right)^2}{\left(2^2.3^2.5\right)^5}\)

\(D=\frac{5^3.3^6.2^8.5^4.2^2.3^4}{2^{10}.3^{10}.5^5}\)

\(D=\frac{5^7.3^{10}.2^{10}}{2^{10}.3^{10}.5^5}=5^2=25\)

a, =\(3^4+2^5=81+32=113\)

b, =\(3.\left(4^2-2.3\right)=3.\left(16-6\right)=3.10=30\)

c, =\(\dfrac{2^{12}.3^4.3^{10}}{2^{12}.3^{12}}=\dfrac{2^{12}.3^{14}}{2^{12}.3^{12}}=3^2=9\)

d, =\(\dfrac{3^2.7^2.2.7.5^3}{5^3.7^3.2.3}=3\)

e, =\(\dfrac{3^6.5^3.2^8.5^4.2^2.3^4}{2^{10}.3^{10}.5^5}=\dfrac{3^{10}.2^{10}.5^7}{2^{10}.3^{10}.5^5}=5^2=25\)

g, =\(\dfrac{2^5.\left(2^8+1\right)}{2^2.\left(2^8+1\right)}=\dfrac{2^5}{2^2}=2^3=8\)

a.3^8:3^4+2^2.2^3

=3^4+2^5

=81+32

=113

b.2^8+4.135+175:25

=256+540+7

=256+547

=803

mấy bài kia bn cứ làm như thế nha!

mik biết nhưng ko thể trả lời hết

a: \(=\dfrac{2^{12}\cdot3^{14}}{3^{12}\cdot2^{12}}=3^2=9\)

b: \(=\dfrac{7^3\cdot2\cdot5^3}{5^2\cdot7^2\cdot6}=7\cdot5\cdot\dfrac{1}{3}=\dfrac{35}{3}\)

d: =2^5(2^8+1)/2^2(2^8+1)=2^3=8

c: \(=\dfrac{5^3\cdot3^6\cdot2^8\cdot5^4\cdot3^4\cdot2^2}{2^{10}\cdot3^{10}\cdot5^5}=5^2\)

Mình ko kẻ được kẻ ngang nên làm như thế này còn nếu bn chép lại thì dấu chia cứ thay bằng dấu kẻ ngang là được

Ta có : 

453⋅204⋅182:1805

=53⋅93⋅44⋅54⋅92⋅22:(55⋅95⋅45)

=57⋅95⋅44⋅4:(55⋅95⋅45)

=57⋅95⋅45:(55⋅95⋅45)

dấu chấm đậm là dấu nhân nha

\(A=\dfrac{21^2.14.125}{35^5.6}=\dfrac{3^2.7^2.2.7.5^3}{7^5.5^5.2.3}=\dfrac{3^2.7^3.2.5^3}{7^5.5^5.2.3}=\dfrac{3}{7^2.5^2}=\dfrac{3}{1225}\)

rut gon , mk goi y z

Giải: (^ là mũ)

a) 3^8 : 3^4 + 2^2 . 2^3

= 6561 : 81 + 4 . 8

= 81 + 32

= 113

Mấy câu sau bn làm tương tự nhé!

b: \(=2^{12}\cdot3^4\cdot\dfrac{3^{10}}{3^{12}\cdot2^{12}}=3^2=9\)

c: \(=\dfrac{7^2\cdot3^2\cdot7\cdot2\cdot5^3}{5^3\cdot7^3\cdot2\cdot3}=\dfrac{3^2}{3}=3\)

d: \(=\dfrac{5^3\cdot3^6\cdot5^4\cdot2^8\cdot3^{16}\cdot2^2}{\left(2^2\cdot3^2\cdot5\right)^5}=\dfrac{5^{10}\cdot3^{22}\cdot2^{10}}{2^{10}\cdot3^{10}\cdot5^5}=3^{12}\cdot5^5\)

\(\frac{21^2.14.125}{35^5.6}=\frac{\left(3.7\right)^2.7.2.5^3}{\left(5.7\right)^5.2.3}=\frac{3^2.7^2.7.2.5^3}{5^5.7^5.2.3}\)

\(=\frac{3^2.7^3.2.5^3}{5^5.7^5.2.3}=\frac{3.1.1.1}{5^2.7^2.1.1}\)

\(=\frac{3}{35^2}=\frac{3}{1225}\)