Question

28^3 x 5^14
______________
    14^6 x 25^7

Answer 1

\(\dfrac{28^3\cdot5^{14}}{14^6\cdot25^7}\)

\(=\dfrac{4^3\cdot7^3\cdot5^{14}}{2^6\cdot7^6\cdot\left(5^2\right)^7}\)

\(=\dfrac{4^3\cdot7^3\cdot5^{14}}{2^6\cdot7^6\cdot5^{14}}\)

\(=\dfrac{\left(2^2\right)^3\cdot7^3}{2^6\cdot7^6}\)

\(=\dfrac{2^6\cdot7^3}{2^6\cdot7^6}=\dfrac{7^3}{7^6}=\dfrac{1}{\left(7\right)^3}=\dfrac{1}{343}\)

Answer 2

\(=\dfrac{4^3\cdot7^3\cdot5^{14}}{2^6\cdot7^6\cdot5^{14}}=\dfrac{1}{7^3}\)