Fully simplify. -2x^(4)y^(3)(xy) Answer:

Identify Terms and Exponents: Identify the terms and their exponents in the expression -2x^(4)y^(3)(xy). In -2x^(4)y^(3)(xy), we have: Coefficient: -2 First term: x^(4) Second term: y^(3) Third term: x Fourth term: yApply Associative Property: Apply the associative property to group the like terms together. -2x^(4)y^(3)(xy) = -2 * x^(4) * x * y^(3) * yCombine Exponents of Like Bases: Combine the exponents of like bases using the property of exponents that states a^(m)a^(n) = a^(m+n). For the x terms: x^(4) * x = x^(4+1) = x^(5) For the y terms: y^(3) * y = y^(3+1) = y^(4)Multiply Coefficients and Terms: Multiply the coefficients and the simplified terms together. -2 * x^(5) * y^(4)Write Final Simplified Expression: Write the final simplified expression. The simplified expression is -2x^(5)y^(4).

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Fully simplify.

-2x^(4)y^(3)(xy)
Answer:

Fully simplify. $\newline$ $-2 x^{4} y^{3}(x y)$ $\newline$ Answer:

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Algebra 2

Evaluate rational exponents

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Q. Fully simplify.

\newline

-2 x^{4} y^{3}(x y)

\newline

Answer:

Identify Terms and Exponents: Identify the terms and their exponents in the expression $-2x^{4}y^{3}(xy)$ . $\newline$ In $-2x^{4}y^{3}(xy)$ , we have: $\newline$ Coefficient: $-2$ $\newline$ First term: $x^{4}$ $\newline$ Second term: $y^{3}$ $\newline$ Third term: $x$ $\newline$ Fourth term: $y$
Apply Associative Property: Apply the associative property to group the like terms together. $\newline$ $-2x^{4}y^{3}(xy) = -2 \times x^{4} \times x \times y^{3} \times y$
Combine Exponents of Like Bases: Combine the exponents of like bases using the property of exponents that states $a^{m}a^{n} = a^{m+n}$ . For the $x$ terms: $x^{4} \times x = x^{4+1} = x^{5}$ For the $y$ terms: $y^{3} \times y = y^{3+1} = y^{4}$
Multiply Coefficients and Terms: Multiply the coefficients and the simplified terms together. $\newline$ $-2 \times x^{5} \times y^{4}$
Write Final Simplified Expression: Write the final simplified expression. $\newline$ The simplified expression is $-2x^{5}y^{4}$ .