1 : a/b : a/b = 1 . b/a . b/a = b/a^2
Ta có: 16 = 4^2
Vậy b/a = 4.
\(1:\frac{a}{b}:\frac{a}{b}=16\)
\(=1.\frac{b}{a}.\frac{b}{a}=16\)
\(=1.\left(\frac{b}{a}\right)^2=16\)
\(\left(\frac{b}{a}\right)^2=16:1\)
\(\left(\frac{b}{a}\right)^2=16\)
\(\Leftrightarrow\left(\frac{b}{a}\right)^2=4^2\)
\(\Rightarrow\frac{b}{a}=\frac{4}{1}\)
\(\Rightarrow\frac{a}{b}=\frac{1}{4}\)
=1:\(\frac{a}{b}.\frac{b}{a}\)=16
=1.\(\frac{b}{a}.\frac{b}{a}\)=16
=\(\frac{b}{a}.\frac{b}{a}\)=16:1=16
mà \(\frac{b}{a}=\frac{b}{a}\)
->\(\frac{b}{a}=4\\ ->\frac{a}{b}=\frac{1}{4}\)
