\(\begin{array}{l}{3^3}{.3^4} = {3^{3 + 4}} = {3^7};\\{10^4}{.10^3}  = 10^{4+3}= {10^7};\\{x^2}.{x^5} = x^{2+5} = {x^7}.\end{array}\

\(25\cdot5^3\cdot\dfrac{1}{625}\cdot5^3=5^8\cdot\dfrac{1}{5^4}=5^4\)

Anh đã từng làm em hi!

2 x 2 x 2 x 3 x 3 x 3 = 2³ x 3³

= 2^3 x 3^3

 2 x 2 x 3 x 3 x 3 x 6

=\(2^2.3^3.6\)

HT

Dấu"." là dấu nhân nhé

2 x 2 x 3 x 3 x 3 x 6 

= \(2^2.3^3.6\)

= 648 

@Trunglaai?

5.p.p.5.p.2.q.q = 5².p³.q².2 

\(5.p.p.5.p^2.q.4.q=\left(5.5.4\right).\left(p.p.p^2\right).\left(q.q\right)=100p^4.q^2\)

-4^3.(-5)^2

Ta có :

( - 2 ) . ( -2 ) . ( -2 ) . ( - 3 ) . ( - 3 ) . ( -3 )

= ( - 2 )³ . ( - 3 )³ 

= [ ( - 2 ) . ( -3 ) ]³ 

= 6 ³

(-2)³x(-3)³

a: =3^4*3^9=3^13

b: =2^10:2^7*2^20*2^30=2^53

c: =2^12*2^10*2^30=2^52

a) \(9^2\cdot27^3\)

\(=\left(3^2\right)^2\cdot\left(3^3\right)^3\)

\(=3^4\cdot3^9\)

\(=3^{4+9}\)

\(=3^{13}\)

b) \(4^5:2^7\cdot4^{10}\cdot2^{30}\)

\(=\left(2^2\right)^5:2^7\cdot\left(2^2\right)^{10}\cdot2^{30}\)

\(=2^{10}:2^7\cdot2^{20}\cdot2^{30}\)

\(=2^3\cdot2^{20}\cdot2^{30}\)

\(=2^{3+20+30}\)

\(=2^{53}\)

c) \(64^2\cdot4^5\cdot2^{30}\)

\(=\left(2^6\right)^2\cdot\left(2^2\right)^5\cdot2^{30}\)

\(=2^{12}\cdot2^{10}\cdot2^{30}\)

\(=2^{12+10+30}\)

\(=2^{52}\)