2.2.2.3.3.6².3=2³.3³.6²=6³.6²=6⁵

=(3^3)^3x(3^2)4x3^5

=3^9x3^8x3^5

=3^22

roi viet ro cach giai giup minh nha

b) 2.2.2.3.3.6².3 = 2.2.2.3.3.6.6.3 = 2.2.2.3.3.3.2.3.2.3 = 2⁵.3⁵

Ta có: \((2^3)^5.2^5\)

\(=2^{15}.2^5\)

\(=2^{15+5}=2^{20}\)

( 2³ )⁵ . 2⁵

= 2^3.5 . 2⁵

= 2¹⁵ . 2⁵

= 2^{15 + 5}

= 2²⁰

Vậy ...

\(\left(2^3\right)^5.2^5\)

\(=\left(2^{3.5}\right).2^5\)

\(=2^{15}.2^5\)

\(=2^{20}\)

A=1+2+2²+2³+...+2¹⁰⁰

=>2A=2+2²+2³+2⁴+...+2¹⁰¹

=>2A-A=(2+2²+2³+2⁴+...+2¹⁰¹)-(1+2+2²+2³+...+2¹⁰⁰)

=>A=2¹⁰¹-1

=>A+1=2¹⁰¹-1+1=2¹⁰¹

A = 1+2+2²+2³+...+2¹⁰⁰

2A = 2+2²+2³+2⁴+...+2¹⁰⁰

2A - A = 2¹⁰⁰ - 1

=> A = 2¹⁰⁰ - 1

=> A + 1 = 2¹⁰⁰

A=1+2+2^2 +2^3 +...+2^200

2A = 2+2^2 + 2^3 + ...+2^200 + 2^201

2A - A =( 2+2^2 + 2^3 + ...+2^200 + 2^201)-(1+2+2^2 + 2^3 + ...+2^200 )

=> A = 2^201 - 1

=> A+1 = 2^201

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

27³.9⁴.24³\(=\left(3^3\right)^3.\left(3^2\right)^4.\left(3.2^3\right)^3=3^9.3^8.3^3.2^9=3^{20}.2^9\)

+) \(2\times4\times8\times32\times64\)

\(=2\times2^2\times2^3\times2^5\times2^6\)

\(=2^{1+2+3+5+6}\)

\(=2^{17}\)

+) \(3\times9\times27\times81\times729\)

\(=3\times3^2\times3^3\times3^4\times3^6\)

\(=3^{1+2+3+4+6}\)

\(=3^{16}\)

_Chúc bạn học tốt_