\(1^3+2^3+3^3+4^3\)

\(=\left(1+2+3+4\right)^3\)

\(=10^3\)

2A = 2 + 2² + 2³ + ... + 2²⁰⁰ + 2²⁰¹

2A - A = ( 2 + 2² + 2³ +...+ 2²⁰⁰ + 2²⁰¹ ) - ( 1 + 2 + 2² + 2³ +...+ 2^{200 )}

=> A = 2^{201 - 1}

=> A +1= 2²⁰¹

Bn gửi câu hỏi dễ hơn được ko năm nay mk lên lớp 6 ko có hỉu

\(8^5.2^3:2^4\)

\(=\left(2^3\right)^5.2^3:2^4\)

\(=2^{15}.2^3:2^4\)

\(=2^{18}:2^4=2^{14}=16384\)

 8⁵.2³:2⁴

= ( 2³)⁵ . 2³ : 2⁴

= 2¹⁵ . 2³ : 2⁴

= 2¹⁸ : 2⁴

= 2¹⁴

Hok tốt !

\(8^5.2^3\)

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

\(=2^{15}.2^3\)

\(=2^{18}\)

Ta có: \(8^5=\left(2^3\right)^5=2^{15}\)

\(\Rightarrow8^5.2^3=2^{15}.2^3=2^{18}\)

Đáp số: \(2^{18}\)

\(9^8:3^2\)

\(=\left(3^2\right)^8:3^2\)

\(=3^{16}:3^2\)

\(=3^{14}\)

9^8:3^2

= (3^2)^8 : 3^2

= 3^16 : 3^2

=3^14

9⁸ : 3² = 9⁸ : 9¹ = 9^8-1= 9⁷

~HT~

9⁸= 9.9.9.9.9.9.9.9= 43046721

3²= 3.3= 9

43046721 : 9 = 4782969

8⁵.2³=(2³)⁵.2³=2¹⁵.2³=2¹⁵⁺³=2¹⁸

\(3\cdot3\cdot3\cdot5\cdot5\cdot5=3^3\cdot5^3\)

a)   \(3^5\cdot3^4=3^{5+4}=3^9\)

b)   \(5^3\cdot5^5=5^{3+5}=5^8\)

c)   \(2^5\cdot2=2^{5+1}=2^6\)

B1:

3.3.3.5.5.5

= 3³.5³

B2:

a) 3⁵.3⁴ = 3⁵⁺⁴=3⁹

b) 5³.5⁵ = 5³⁺⁵ =5⁸

c) 2⁵.2 = 32 . 2 = 64

\(8^5.2^3=\left(2^3\right)^5.2^3\)

\(=2^{15}.2^3=2^{15+3}=2^{18}\)

\(8^5\) x \(2^3\) = \(8^5\)x  \(8\) = \(8^6\)