Fully simplify. -12x^(2)y^(4)(2xy) Answer:

Multiply coefficients: To simplify the expression, we need to multiply the coefficients (numerical values) and apply the exponent rules to the variables. -12 multiplied by 2 gives us -24.Apply exponent rules: Now we apply the exponent rules to the variables. When multiplying variables with the same base, we add the exponents. For x, we have x^(2) multiplied by x, which gives us x^(2+1) or x^(3). For y, we have y^(4) multiplied by y, which gives us y^(4+1) or y^(5).Combine coefficient and variables: Combining the coefficient and the variables, we get the simplified expression: -24x^(3)y^(5).

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Fully simplify.

-12x^(2)y^(4)(2xy)
Answer:

Fully simplify. $\newline$ $-12 x^{2} y^{4}(2 x y)$ $\newline$ Answer:

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Algebra 2

Multiply and divide rational expressions

Full solution

Q. Fully simplify.

\newline

-12 x^{2} y^{4}(2 x y)

\newline

Answer:

Multiply coefficients: To simplify the expression, we need to multiply the coefficients (numerical values) and apply the exponent rules to the variables. $\newline$ $-12$ multiplied by $2$ gives us $-24$ .
Apply exponent rules: Now we apply the exponent rules to the variables. When multiplying variables with the same base, we add the exponents. $\newline$ For $x$ , we have $x^{2}$ multiplied by $x$ , which gives us $x^{2+1}$ or $x^{3}$ . $\newline$ For $y$ , we have $y^{4}$ multiplied by $y$ , which gives us $y^{4+1}$ or $y^{5}$ .
Combine coefficient and variables: Combining the coefficient and the variables, we get the simplified expression: $-24x^{3}y^{5}$ .