Mathematics
chocolate338terry
2015-10-31 03:30:36
How do i simplify this?
ANSWERS
sams12
2015-10-31 10:06:09

[latex]f left.qquad qquad ight. extit{negative exponents}\\ a^{-{ n}} implies cfrac{1}{a^{ n}} qquad qquad cfrac{1}{a^{ n}}implies a^{-{ n}} qquad qquad a^{{{ n}}}implies cfrac{1}{a^{-{{ n}}}}\\ -------------------------------\\[/latex] [latex]f cfrac{(xy^{-3})^{-5}}{(x^{-3}y)^{-6}}impliedby extit{first off, distribute the exponent} \\\ cfrac{x^{1cdot -5}y^{-3cdot -5}}{x^{-3cdot -6}y^{1cdot -6}}implies cfrac{x^{-5}y^{15}}{x^{18}y^{-6}}implies cfrac{y^{15}cdot y^6}{x^{18}cdot x^5}implies cfrac{y^{15+6}}{x^{18+5}}implies cfrac{y^{21}}{x^{23}}[/latex]

ADD ANSWER