\(4^{30}=2^{60}\)

\(8^{12}=2^{36}\)

mà 60>36

nên \(4^{30}>8^{12}\)

4 mũ 30 > 8 mũ 12

vì \(8^{12}=\left(4x2^{ }\right)^{12}=4^{24}\)

1) Ta có:

12⁸ = (2².3)⁸ = 2¹⁶.3⁸

8¹² = (2³)¹² = 2³⁶ = 2¹⁶.2²⁰ = 2¹⁶.(2²)¹⁰ = 2¹⁶.4¹⁰

Vì 2¹⁶.3⁸ < 2¹⁶.4¹⁰

=> 12⁸ < 8¹²

2) Ta có:

(-5)³⁹ = -5³⁹ = -(5³)¹³ = -125¹³

(-2)⁹¹ = -2⁹¹ = -(2⁷)¹³ = -128¹³

Vì -125¹³ > -128¹³

=> (-5)³⁹ > (-2)⁹¹

\(2^{91}\)=2,475880079_x10²⁷

\(5^{35}\)=2,910383046_x10²⁴

Vay \(2^{91}\)>\(5^{35}\)

ta có:2^91>2^90 , 2^90=2^5^18=32^18

5^35<5^36 , 5^36=5^2^18=25^18

vì 32^18>25^18

=>2^91 > 5^35

a: \(\left(-\dfrac{1}{16}\right)^{100}=\left(\dfrac{1}{16}\right)^{100}=\left(-\dfrac{1}{2}\right)^{400}\)

\(\left(-\dfrac{1}{2}\right)^{500}=\left(-\dfrac{1}{2}\right)^{500}\)

mà \(400< 500\)

nên \(\left(-\dfrac{1}{16}\right)^{100}< \left(-\dfrac{1}{2}\right)^{500}\)

viet cach lam luon nha

Ta có:\(2^{36}\)và \(3^{27}\)

\(2^{36}=\left(2^4\right)^9=16^9\)

\(3^{27}=\left(3^3\right)^9=27^9\)

Vì \(16< 27\Rightarrow16^9< 27^9\)

Vậy....

b,\(9^{20}\)và \(9999^{10}\)

\(9^{20}=\left(9^2\right)^{10}=81^{10}\)

\(9999^{10}\)

Vì \(81< 9999\Rightarrow81^{10}< 9999^{10}\)

Vậy ...

c,\(54^4\)

\(21^{12}=\left(21^3\right)^4=9261^4\)

Vì \(54< 9261\Rightarrow54^4< 9261^4\)

Vậy...

cam on

Ta có:

12^8=(3.2^2)^8=3^8.2^16

27^16.16^9=(3^3)^16.(2^4)^9=3^48.2^36

<=>12^8<27^16.16^9

12^8<27^16.16^9 nha bn

9²¹<729⁷¹

phai giai nua ban a

Ta có : \(729^{71}=\left(9^3\right)^{71}=9^{3.71}=9^{213}\)

Mà \(9^{21}< 9^{213}\)

\(\Rightarrow\) \(9^{21}< 729^{71}\)

Chúc bạn học tốt !

a, 9^5>27^3

​b,3^200>2^300

​c, 32^11<17^14