Question

[nameless]

1, Tính:
\(\frac{13^5+13^4-13^3}{26^3}\)
2, So sánh: 2⁷⁵ và 3⁵⁰
 

Answer 1

[nguyễn tuấn thảo]

\(\frac{13^5+13^4-13^3}{26^3}\)

\(=\frac{13^3\times(13^2+13-1)}{(2\times13)^3}\)

\(=\frac{13^3\times181}{2^3\times13^3}\)

\(=\frac{181}{8}\)

Answer 2

[Xyz OLM]

1) Tính : 

\(\frac{13^5+13^4-13^3}{26^3}\)

\(=\frac{13^3.\left(13^2+13-1\right)}{13^3.2^3}\)

\(=\frac{13^3.181}{13^3.8}\)

\(=\frac{181}{8}\)

2) Ta có : 2⁷⁵ = 2^3.25 = (2³)²⁵ = 8²⁵

                3⁵⁰ = 3^2.25 = (3²)²⁵ = 9²⁵

Vì 8²⁵ < 9²⁵ nên 2⁷⁵ < 3⁵⁰

=>  2⁷⁵ < 3⁵⁰