Question

(2¹⁰⁰+2¹⁰¹+2¹⁰²):(2⁹⁷+2⁹⁸+2⁹⁹)

có hai cách .ai giải được hai cách mình tích cho 2 cái

hì hì

Answer 1

x=8,

TK MK MK GIẢI CẢ 2 CÁCH CHO

Answer 2

( 2¹⁰⁰ + 2¹⁰¹ + 2¹⁰² ) : ( 2⁹⁷ + 2⁹⁸ + 2⁹⁹ )

= [ 2¹⁰⁰ . ( 1 + 2 + 2² ) ] : [ 2⁹⁷ . ( 1 + 2 + 2² ) ]

= ( 2¹⁰⁰ . 7 ) : ( 2⁹⁷ . 7 )

= 2¹⁰⁰ : 2⁹⁷

= 2³

= 8

Answer 3

=2³⁰²:2²⁹⁴=2⁸

Answer 4

Đặt \(C=\left(2^{100}+2^{101}+2^{102}\right):\left(2^{97}+2^{98}+2^{99}\right)\)

Đặt \(A=2^{100}+2^{101}+2^{102}\)

\(\Rightarrow2A=2^{101}+2^{102}+2^{103}\)

\(\Rightarrow2A-A=\left(2^{101}+2^{102}+2^{103}\right)-\left(2^{100}+2^{101}+2^{102}\right)\)

\(\Rightarrow A=2^{103}-2^{100}\)

Đặt \(B=2^{97}+2^{98}+2^{99}\)

\(\Rightarrow2B=2^{98}+2^{99}+2^{100}\)

\(\Rightarrow2B-B=2^{98}+2^{99}+2^{100}-\left(2^{97}+2^{98}+2^{99}\right)\)

\(\Rightarrow B=2^{100}-2^{97}\)

\(\Rightarrow C=A+B=\left(2^{103}-2^{100}\right):\left(2^{100}-2^{97}\right)\)