I think I have the answer...just need some guidance...expone

Flower9

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Feb 5, 2006
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Simplify (-6y^-4)^5

I want to say the answer is 7776y^20

Thanks for any assistance!
:D
 
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: \(\displaystyle 7776y^{20}\)
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

Flower9 said:
Simplify (-6y^-4)^5
I want to say the answer is 7776y^20
Thanks for any assistance!
:D
-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:
 
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