Question

(3/7)²¹:(9/49)¹⁰

Answer 1

\(\left(\frac{3}{7}\right)^{21}:\left(\frac{9}{49}\right)^{10}=\frac{3^{21}}{7^{21}}:\frac{9^{10}}{49^{10}}=\frac{3^{21}}{7^{21}}:\frac{\left(3^2\right)^{10}}{\left(7^2\right)^{10}}=\frac{3^{21}}{7^{21}}:\frac{3^{20}}{7^{20}}=\frac{3^{21}}{7^{21}}.\frac{7^{20}}{3^{20}}=\frac{3}{7}\)

Answer 2

(3/7)^21:(9/49)^10=3/7