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How do you use laws of exponents to simplify #(x^3y)^8#?

Answer 1

Isaiah Anthony

#=x^color(blue)(24)y^(color(blue)(8)#

#(x^3y)^color(blue)(8#

#color(blue)(8) # is multiplied with each term within the bracket.

#=x^color(blue)((3*8))y^(color(blue)(8)#

#=x^color(blue)(24)y^(color(blue)(8)#

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Answer 2

Julia Adams

To simplify (x^3y)^8, you apply the power of a power rule, which states that (a^m)^n = a^(mn). So, (x^3y)^8 simplifies to x^(38)y^8, which equals x^24y^8.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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