Question

So sánh:

\((-32)^9 và (-16)^{13}\)

Answer 1

Ta có: \(\left(-32\right)^9=-32^9\)

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

\(\left(-16\right)^{13}=-\left(2^4\right)^{13}=-2^{52}\)

Vì \(-2^{45}>-2^{52}\Rightarrow\left(-32\right)^9>\left(-16\right)^{13}\)

Vậy...

Answer 2

Giải:

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

\(\left(-16\right)^{13}=\left(-2^4\right)^{13}=-2^{52}\)

Vì \(-2^{45}>-2^{52}\)

Nên \(\left(-32\right)^9>\left(-16\right)^{13}\)

Vậy \(\left(-32\right)^9>\left(-16\right)^{13}\).

Chúc bạn học tốt!

Answer 3

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

\(\left(-16\right)^{13}=\left(-2^4\right)^{13}=-2^{52}\)

Do \(-2^{45}>-2^{52}\)

Nên \(\left(-32\right)^9>\left(-16\right)^{13}\)