Perform the following polynomial operations and simplify (-3x²y⁵)³?

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Answer 1 · 2018-02-06T21:44:22

See a solution process below:

First, use this rule of exponents to rewrite the term within the parenthesis:

#a = a^color(red)(1)#

#(-3x^2y^5)^3 =>#

#(-3^color(red)(1)x^2y^5)^3#

Now, use this rule of exponents to complete the simplification:

#(x^color(red)(a))^color(blue)(b) = x^(color(red)(a) xx color(blue)(b))#

#(-3^color(red)(1)x^color(red)(2)y^color(red)(5))^color(blue)(3) =>#

#-3^(color(red)(1) xx color(blue)(3))x^(color(red)(2) xx color(blue)(3))y^(color(red)(5) xx color(blue)(3)) =>#

#-3^3x^6y^15 =>#

#-27x^6y^15#