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How do you simplify #2x^3y^-3*2x^-1y^3# and write it using only positive exponents?

Answer 1

Julia Adams

#(2x^3y^3)/(2xy^3)#

anything to a negative exponent means it's really #1/"number"# therefore: #(2x^3)/y^3*y^3/(2x)#

Fractions multiply top#times#top, bottom#times#bottom

#(2x^3*y^3)/(2x*y^3)#

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Answer 2

Jameson Allen

To simplify (2x^3y^{-3} \times 2x^{-1}y^3) and write it using only positive exponents, you multiply the coefficients (2 and 2) and combine the like terms. Then, use the properties of exponents to simplify the expression. The simplified expression is (8x^2y^6).

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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.