Question

so sánh 1/3⁴⁰⁰ và 1/4³⁰⁰

Answer 1

Ta có: 1/3^400 = 1/3^(4x100) = (1/3^4)^100 = 1/81^100

          1/4^300 = 1/4^(3x100) = (1/4^3)^100 = 1/64^100

   Vì 1/81^100 < 1/64^100

      hay 1/3^400 < 1/4^300.

nhớ duyệt nhé .

Answer 2

Ta có:

1/3^100.4 và 1/4^100.3

tiếp theo tự tìm nha !!!

Answer 3

1/3⁴⁰⁰=(1/3⁴)¹⁰⁰=1/81¹⁰⁰

1/4³⁰⁰=(1/4³)¹⁰⁰=1/64¹⁰⁰

Vì 1/64>1/81=>1/64¹⁰⁰>1/81¹⁰⁰ hay 1/3⁴⁰⁰>1/4³⁰⁰

Answer 4

Ta có:

3^400=(3^4)^100=81^100

4^300=(4^3)^100=64^100

=> 3^400>4^300=> 1/3^400<1/4^300

Answer 5

Ta có : 1/3^400 = 1/( 3^4 )^100 = 1/81^100

            1/4^300 = 1/( 4^3 )^100 = 1/64^100

Vì 1/81^100 < 1/64^100 ( 81^100 > 64^100 ) nên 1/3^400 < 1/4^300

Answer 6

ta có:

\(\left(\frac{1}{3}\right)^{400}=\left(\frac{1}{3}\right)^{4^{100}}=\left(\frac{1}{81}\right)^{100}\)  và \(\left(\frac{1}{4}\right)^{300}=\left(\frac{1}{4}\right)^{3^{100}}=\left(\frac{1}{64}\right)^{100}\)

=>\(\left(\frac{1}{81}\right)^{100}\) < \(\left(\frac{1}{64}\right)^{100}\) 

=> \(\left(\frac{1}{3}\right)^{400}\) < \(\left(\frac{1}{4}\right)^{300}\)