Simplifying an Algebraic Expression with Exponents
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Which of the following is equivalent to the expression below? $(-3x^2y^{-1})(-xy^2)$
O $3x^3y^{-2}$
O $3x^2y$
O $3x^3y$
O $3x^2y^{-2}$
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Hi Damaris, let's solve this problem by simplifying the expression step by step using the laws of exponents.
Simplifying Expressions
We are given the product of two terms: negative three x squared y to the negative one, and negative x y squared.
To simplify this, we can group the coefficients, the x terms, and the y terms together. Note that negative x is treated as negative one times x.
Let's start with the coefficients. Negative three times negative one equals positive three.
Next, we apply the product rule for exponents, which states that when multiplying terms with the same base, we add their exponents.
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