Question

What is the simplified fraction for 5^-3 * 2^2 *5^6/ 2^3 *5^2

Answer 1

`\displaystyle\bf\\(5^(-3)*2^2*5^6)/(2^3*5^2)=\\\\=(2^2*5^(6-3))/(2^3*5^2)=\\\\=(2^2*5^3)/(2^3*5^2)=\\\\=2^(2-3)*5^(3-2)=\\ \\=2^(-1)*5^(1)= (5^1)/(2^1)=\boxed{\bf(5)/(2)}`