Question

Simplify the expression. Write the result using positive exponents only.

Answer 1

15((1)/(r))^(5)/7r^(4)(r^(5))^(3)

15*((1)/(r^(5)))/7r^(4)*(r^(15))

15((1)/(r^(5)))/7r^(4)*(r^(15))

15((1)/(r^(5)))/7r^(19)

15/7r^(24)

Answer 2

\[\frac{15r^{-4}(r^{-1})^5}{7(r^5)^3}=\frac{15r^{-4+(-5)}}{7(r^15)}=\frac{15r^{-9}}{7r^{15}}=\frac{15}{7r^{15+9}} =\frac{15}{7r^{24}}\]