Question

(-16)¹¹ và (-32)⁹

^{So sánh ạ}

Answer 1

  

Answer 2

Ta có:

\(\left(-16\right)^{11}=\left(-2^4\right)^{11}=\left(-2\right)^{4.11}=\left(-2\right)^{44}\)

\(\left(-32\right)^9=\left(-2^5\right)^9=\left(-2\right)^{5.9}=\left(-2\right)^{45}\)

Vì \(44< 45\) nên \(\left(-2\right)^{44}>\left(-2\right)^{45}\)

Vậy \(\left(-16\right)^{11}>\left(-32\right)^9\)

 

Answer 3

(-16)¹¹ = (-2⁴)¹¹ = -2⁴⁴

(-32)⁹ = (-2⁵)⁹ = -2⁴⁵

Do 44 < 45 nên 2⁴⁴ < 2⁴⁵

⇒ -2⁴⁴ > -2⁴⁵

Vậy (-16)¹¹ > (-32)⁹