Question

(\(\frac{1}{9}\))^23 : (\(\frac{1}{3}\))^41

Answer 1

\(\left(\frac{1}{9}\right)^{23}:\left(\frac{1}{3}\right)^{41}=\left(\frac{1}{3}\right)^{46}:\left(\frac{1}{3}\right)^{41}=\left(\frac{1}{3}\right)^5=\frac{1}{243}\)

Answer 2

\(\left(\frac{1}{9}\right)^{23}:\left(\frac{1}{3}\right)^{41}\)

\(=\left[\left(\frac{1}{3}\right)^2\right]^{23}:\left(\frac{1}{3}\right)^{41}\)

\(=\left(\frac{1}{3}\right)^{46}:\left(\frac{1}{3}\right)^{41}\)

\(=\left(\frac{1}{3}\right)^{46-41}\)

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

\(=\frac{1}{243}.\)

Chúc bạn học tốt!