Question

1.so sánh:

a)\(5^6\)và\(\left(-2\right)^{14}\)

b)\(9^5\)và \(27^3\)

c) \(\left(\frac{1}{8}\right)^6\) và \(\left(\frac{1}{32}\right)^4\)

Answer 1

b) Ta có: \(9^5=3^{10}\) ; \(27^3=3^9\)

Mà \(3^{10}>3^9\) => \(9^5>27^3\) 9 (đpcm)

Answer 2

c) Ta có: \(\left(\dfrac{1}{8}\right)^6=\dfrac{1}{2^{18}}\) ; \(\left(\dfrac{1}{32}\right)^4=\dfrac{1}{2^{20}}\)

Mà \(\dfrac{1}{2^{18}}>\dfrac{1}{2^{20}}\) => \(\left(\dfrac{1}{8}\right)^6>\left(\dfrac{1}{32}\right)^4\) (đpcm)