Simplify (-6y^-4)^5 I want to say the answer is 7776y^20 Thanks for any assistance! :D
F Flower9 New member Joined Feb 5, 2006 Messages 14 Feb 8, 2006 #1 Simplify (-6y^-4)^5 I want to say the answer is 7776y^20 Thanks for any assistance!
S soroban Elite Member Joined Jan 28, 2005 Messages 5,586 Feb 8, 2006 #2 Re: I think I have the answer...just need some guidance...ex Hello, Flower9! Simplify \(\displaystyle (-6y^{-4})^5\) I want to say the answer is: \(\displaystyle 7776y^{20}\) Click to expand... You lost your minus-signs . . . We have: \(\displaystyle \,(-6)^5(y^{-4})^5\) and: \(\displaystyle \,(-6)(-6)(-6)(-6)(-6)\:=\: -7776\) and: \(\displaystyle \,(y^{-4})^5 \;= \;y^{(-4)(5)} \;= \; y^{-20}\)
Re: I think I have the answer...just need some guidance...ex Hello, Flower9! Simplify \(\displaystyle (-6y^{-4})^5\) I want to say the answer is: \(\displaystyle 7776y^{20}\) Click to expand... You lost your minus-signs . . . We have: \(\displaystyle \,(-6)^5(y^{-4})^5\) and: \(\displaystyle \,(-6)(-6)(-6)(-6)(-6)\:=\: -7776\) and: \(\displaystyle \,(y^{-4})^5 \;= \;y^{(-4)(5)} \;= \; y^{-20}\)
D Denis Senior Member Joined Feb 17, 2004 Messages 1,707 Feb 8, 2006 #3 Re: I think I have the answer...just need some guidance...ex Flower9 said: Simplify (-6y^-4)^5 I want to say the answer is 7776y^20 Thanks for any assistance! Click to expand... -6^5 = -7776 (y^(-4))^5 = y^(-20) = 1 / y^20 so: -7776 / y^20 : you were close enough...I guess! LEARN the rules :idea:
Re: I think I have the answer...just need some guidance...ex Flower9 said: Simplify (-6y^-4)^5 I want to say the answer is 7776y^20 Thanks for any assistance! Click to expand... -6^5 = -7776 (y^(-4))^5 = y^(-20) = 1 / y^20 so: -7776 / y^20 : you were close enough...I guess! LEARN the rules :idea: