Question

So sánh

\(\left(\frac{1}{16}\right)^{10}\) và \(\left(\frac{1}{2}\right)^{50}\)

Ai  nhanh mình tick

Answer 1

Vì\(\left(\frac{1}{16}\right)^{10}\)= \(\left[\left(\frac{1}{2}\right)^4\right]^{10}\)= \(\left(\frac{1}{2}\right)^{40}\)

Mà 40<50 =>\(\left(\frac{1}{2}\right)^{40}\)< \(\left(\frac{1}{2}\right)^{50}\)hay \(\left(\frac{1}{16}\right)^{10}\)< \(\left(\frac{1}{2}\right)^{50}\)

Vậy \(\left(\frac{1}{16}\right)^{10}\)<\(\left(\frac{1}{2}\right)^{50}\)

Học giỏi!^^ (đúng thì k cho mik nhé,cảm ơn!)

Answer 2

\(\left(\frac{1}{2}\right)^{50}=\left(\left(\frac{1}{2}\right)^5\right)^{10}=\left(\frac{1}{32}\right)^{10}\)
Ta có\(\frac{1}{16}>\frac{1}{32}\)nên\(\left(\frac{1}{16}\right)^{10}>\left(\frac{1}{32}\right)^{10}\)hay\(\left(\frac{1}{16}\right)^{10}>\left(\frac{1}{2}\right)^{50}\)

Answer 3

Ta có:

\(16^{10}=\left(2^4\right)^{10}=2^{4\cdot10}=2^{40}< 2^{50}\)

=>\(\left(\frac{1}{16}\right)^{10}>\left(\frac{1}{2}\right)^{50}\)

Vậy ......

Answer 4

ta có

(1/2)^50=(1^5/2^5)^10=(1/32)^10

từ đó ta so sánh (1/16)^10và (1/32)^10 ta thấy 1/16>1/32 nên=>(1/16)^10>(1/32)^10

hay (1/16)^10>(1/2)^50

vậy (1/16)^10>(1/2)^50

Answer 5

\(\left(\frac{1}{2}\right)^{50}=\left(\left(\frac{1}{2}\right)^5\right)^{10}=\frac{1}{32}^{10}\)

\(\Rightarrow\frac{1}{16}>\frac{1}{32}\)Nên \(\frac{1}{16}^{10}>\frac{1}{32}^{10}\)

\(\Rightarrow\)Vậy \(\left(\frac{1}{16}\right)^{10}>\left(\frac{1}{2}\right)^{50}\)

Answer 6

1 / 6 ¹⁰  và 1 / 2 ^{5 . 10}

1 / 6 ¹⁰  và  ( 1 / 2 ⁵ ) ¹⁰

1 / 6 ¹⁰   và  1 / 4 ¹⁰ 

=> 1 / 6 ¹⁰  >  1 / 4 ¹⁰