math help i hateeee math but i need help

label Algebra
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(u^4v^6)^-1/3

Oct 11th, 2015

Hi there! Thank you for the opportunity to help you with your question!

(u^4 v^6)^(-1/3)

Exponentiation is distributive for multiplication, so each term is separately raised to the -1/3

(u^4)^(-1/3)*(v^6)^(-1/3)

And a power raised to another power yields the product of the two, so in this case

u^(-4/3) v^(-6/3)

Simplifying the last one

u^(-4/3)v^(-2)

Please let me know if you need any clarification. Always glad to help!
Oct 11th, 2015

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