Bài 6: 

a: \(2^{27}=8^9\)

\(3^{18}=9^9\)

b: Vì \(8^9< 9^9\)

nên \(2^{27}< 3^{18}\)

ta có :

\(3^3.7^3=\left(3.7\right)^3=21^3\)

3³7³=(3.7)³

(–2) . (–2) . (–2) . (–3) . (–3) . (–3) = (–2)3 . (–3)3 = [(-2). (-3)]3 = 63

l) 27^8=(3³)⁸=3²⁴

=>27⁸:3²²=3²⁴:3²²

=3^24-22=3²

m) 8^4=(2³)⁴=2¹²

4⁵=(2²)⁵=2¹⁰

=>8⁴:4⁵=2¹²:2¹⁰

=2^12-10=2²

a) \(27^8:3^{22}\)

\(=\left(3^3\right)^8:3^{22}\)

\(=3^{24}:3^{22}=3^{24-22}\)

\(=3^2\)

b) \(8^4:4^5\)

\(=\left(2^3\right)^4:\left(2^2\right)^5\)

\(=2^{12}:2^{10}=2^{12-10}=2^2\)

( − 3 ) . ( − 3 ) . ( − 3 ) .3.3 = ( − 3 ) . ( − 3 ) . ( − 3 ) . ( − 3 ) . ( − 3 ) = ( − 3 ) 5

a: \(A=\left(2^3\right)^2\cdot\left(2^5\right)^4=2^6\cdot2^{20}=2^{26}\)

b: \(=\left(3^3\right)^3\cdot\left(3^2\right)^4\cdot3^5=3^9\cdot3^8\cdot3^5=3^{22}\)

\(A=8^2.32^4=\left(2^3\right)^2.\left(2^5\right)^4=2^6.2^{20}=2^{26}\)

\(B=27^3.9^4.243=\left(3^3\right)^3.\left(3^2\right)^4.3^5=3^9.3^8.3^5=3^{22}\)

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

(-8).(-3).(+125)

= (-2)³.(-3)¹.(+5)³

Trả lời :

( - 8 ) . ( -3 ) . ( + 125 )

=( -2)³. ( -3 ) ¹ . 5³

Học tốt !

-4^3.(-5)^2