Question

Cho số tự nhiên n thỏa mãn:\(\left(\frac{1}{2}\right)^n\) =\(\left(\frac{1}{8}\right)^5\)

Answer 1

\(\left(\frac{1}{2}\right)^n=\left(\frac{1}{8}\right)^5\)

\(\left(\frac{1}{2}\right)^n=\left(\frac{1^3}{2^3}\right)^5\)

\(\left(\frac{1}{2}\right)^n=\left[\left(\frac{1}{2}\right)^3\right]^5\)

\(\left(\frac{1}{2}\right)^n=\left(\frac{1}{2}\right)^{15}\)

n = 15

Answer 2

\(\left(\frac{1}{2}\right)^n=\left(\frac{1}{8}\right)^5\)

\(\Rightarrow\left(\frac{1}{2}\right)^n=\left(\frac{1}{2}\right)^{3.5}\)

\(\Rightarrow\left(\frac{1}{2}\right)^n=\left(\frac{1}{2}\right)^{15}\)

\(\Rightarrow n=15\)

Vậy n = 15