Question

    Giúp mình bài này với : (13^12 + 13^14 + 13^16) : (13^10 + 13^12 + 13^14)

Answer 1

\(A=\dfrac{13^{12}+13^{14}+13^{16}}{13^{10}+13^{12}+13^{14}}\)

\(A=\dfrac{13^{12}\left(1+13^2+13^4\right)}{13^{10}\left(1+13^2+13^4\right)}\)

\(\Rightarrow A=\dfrac{13^{12}}{13^{10}}\)

\(\Rightarrow A=13^2=169\)

Answer 2

`A = \frac{13^{12} + 13^{14} + 13^{16}}{13^{10} + 13^{12} + 13^{14}}`
`A = \frac{13^{12}(1 + 13^2 + 13^4)}{13^{10}(1 + 13^2 + 13^4)}`
`\Rightarrow A = \frac{13^{12}}{13^{10}}`
`\Rightarrow A = 13^2 = 169`

 

Answer 3

(13¹² + 13¹⁴ + 13¹⁶) : (13¹⁰ + 13¹² + 13¹⁴) = 13¹²(1+13²+13⁴) : 13¹⁰(1+13²+13⁴) = 13² = 169