Simplify each of these expressions.
a) (-32x^10y^-15)^3/5
b) ((25x^8y^12)^1/2) / ((-8x^6y^-6)^2/3)
Thanks, hope i can figure it out with your help. THANKS
a) (-32x^10y^-15)^3/5
b) ((25x^8y^12)^1/2) / ((-8x^6y^-6)^2/3)
Thanks, hope i can figure it out with your help. THANKS
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a) (-32x^10y^-15)^3/5=
=(-32)^3/5(x^10)^3/5(y^-15)^3/5
=(-32)^3/5 (x^30/5) (y^-15*3/5)
=(-32)^3/5 (x^6) (y^-9)
you can simplify the number
b) ((25x^8y^12)^1/2) / ((-8x^6y^-6)^2/3)
=((25)^1/2 (x^8)^1/2 (y^12)^1/2) / ((-8)^2/3 (x^6)^2/3 (y^-6)^2/3)
=((25)^1/2 (x^4) (y^6) / ((-8)^2/3 (x^4) (y^-4)
=((25)^1/2 (x^4*x^-4) (y^6)(y^4) / ((-8)^2/3
=((25)^1/2 (x^0) (y^10) / ((-8)^2/3
=((25)^1/2 (1) (y^10) / ((-8)^2/3
finish the last step
=(-32)^3/5(x^10)^3/5(y^-15)^3/5
=(-32)^3/5 (x^30/5) (y^-15*3/5)
=(-32)^3/5 (x^6) (y^-9)
you can simplify the number
b) ((25x^8y^12)^1/2) / ((-8x^6y^-6)^2/3)
=((25)^1/2 (x^8)^1/2 (y^12)^1/2) / ((-8)^2/3 (x^6)^2/3 (y^-6)^2/3)
=((25)^1/2 (x^4) (y^6) / ((-8)^2/3 (x^4) (y^-4)
=((25)^1/2 (x^4*x^-4) (y^6)(y^4) / ((-8)^2/3
=((25)^1/2 (x^0) (y^10) / ((-8)^2/3
=((25)^1/2 (1) (y^10) / ((-8)^2/3
finish the last step
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See the website below:
http://www.mathway.com/answer.aspx?p=cca…
I entered in the problems and the answers to those can be seen if you go to the 2 links below:
http://www.mathway.com/answer.aspx?p=cca…
http://www.mathway.com/answer.aspx?p=cca…
I hope that I helped! :)
http://www.mathway.com/answer.aspx?p=cca…
I entered in the problems and the answers to those can be seen if you go to the 2 links below:
http://www.mathway.com/answer.aspx?p=cca…
http://www.mathway.com/answer.aspx?p=cca…
I hope that I helped! :)