Question

simplify \\((2x^3y^{-2})(x^{-1}y^4)\\)

Explanation:

Group coefficients and variables

Using the Algebraic Simplification knowledge point

$$ (2x^3y^{-2})(x^{-1}y^4) = 2 \cdot (x^3 \cdot x^{-1}) \cdot (y^{-2} \cdot y^4) $$

Add exponents for each base

Using the Exponent Rules knowledge point

$$
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$$

Combine the simplified terms

Using the Algebraic Simplification knowledge point

$$ 2 \cdot x^2 \cdot y^2 = 2x^2y^2 $$

Answer:

\(2x^2y^2\)