(16q^0r^-6)/(4q^-3r^-7)
=(16cancelcolor(red)(q^0)cancelcolor(red)(1)r^-6)/(4q^-3r^-7)-> Everything to the power of 0 is 1. Everything multiplied by 1 is itself/the same number.
=(16cancelcolor(orange)(r^-6)color(blue)(q^3)color(green)(r^7))/(4cancelcolor(blue)(q^-3)cancelcolor(green)(r^-7)color(orange)(r^6))-> Negative exponents will bring the base and its POSITIVE exponent across the fraction bar.
=(cancelcolor(brown)(16)color(magenta)(4*cancel(4))q^3r^7)/(cancelcolor(magenta)(4)r^6)-> 16=4xx4. You can now cancel a four in the numerator (above fraction bar) and the denominator (below fraction bar).
=(4q^3cancelcolor(gold)(r^7)color(gold)(r))/(cancelcolor(gold)(r^6)cancelcolor(gold)(1))-> Cancel like exponents in the numerator and the denominator.
=4q^3r-> Final answer!
