Question 106789
Simplify:
{{{highlight((6r^(-1))^2)(2r^(-4))/r^(-5)highlight((r^2)^(-3))}}}
Recall that when you raise one power to another power, you multiply the exponents, so let's do that first.
{{{highlight((6r^(-2)))(2r^(-4))/r^(-5)highlight((r^(-6)))}}} Now we'll multiply the factors in the numerator. Remember to add the exponents.
{{{12r^(-6)/r^(-5)(r^(-6))}}} Cancel the {{{r^(-6)}}} leaving:
{{{12/r^(-5)}}} Now, using the fact that:{{{1/x^(-n) = x^n}}} we end up with:
{{{highlight(12r^5)}}}