Question

[Lan Hương]

so sánh \(\left(-16\right)^{11}\left(-32\right)^9\)

Answer 1

[HT.Phong (9A5)]

Ta có:

\(\left(-16\right)^{11}=-16^{11}=-\left(2^4\right)^{11}=-2^{4\cdot11}=-2^{44}\)

\(\left(-32\right)^9=-32^9=-\left(2^5\right)^9=-2^{5\cdot9}=-2^{45}\)

Mà: \(44< 45\)

\(\Rightarrow2^{44}< 2^{45}\)

\(\Rightarrow-2^{44}>-2^{45}\)

Answer 2

[hà đăng khoa]

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

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

Mà                 44<4544<45

$\Rightarrow 2^{44}<2^{45}$

$\Rightarrow -2^{44}>-2^{45}$