Fully simplify. -2x^(4)y^(2)(5xy^(4)) Answer:

Identify terms: Identify the terms to be multiplied in the expression -2x^(4)y^(2)(5xy^(4)). The terms are -2x^(4)y^(2) and 5xy^(4).Multiply coefficients: Multiply the coefficients (numerical parts) of the terms. The coefficients are -2 and 5. Multiplying these gives -2 * 5 = -10.Add variable exponents: Multiply the variables with the same base by adding their exponents according to the rule a^(m)*a^(n) = a^(m+n). For the variable x, we have x^(4)*x^(1) (since x = x^(1)), which gives x^(4+1) = x^(5). For the variable y, we have y^(2)*y^(4), which gives y^(2+4) = y^(6).Combine final expression: Combine the results from the previous steps to form the final simplified expression. The coefficient is -10, the power of x is 5, and the power of y is 6. So the simplified expression is -10x^(5)y^(6).

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Fully simplify.

-2x^(4)y^(2)(5xy^(4))
Answer:

Fully simplify. $\newline$ $-2 x^{4} y^{2}\left(5 x y^{4}\right)$ $\newline$ Answer:

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Algebra 2

Evaluate rational exponents

Full solution

Q. Fully simplify.

\newline

-2 x^{4} y^{2}\left(5 x y^{4}\right)

\newline

Answer:

Identify terms: Identify the terms to be multiplied in the expression $-2x^{4}y^{2}(5xy^{4})$ . $\newline$ The terms are $-2x^{4}y^{2}$ and $5xy^{4}$ .
Multiply coefficients: Multiply the coefficients (numerical parts) of the terms. $\newline$ The coefficients are $-2$ and $5$ . $\newline$ Multiplying these gives $-2 \times 5 = -10$ .
Add variable exponents: Multiply the variables with the same base by adding their exponents according to the rule $a^{m}\cdot a^{n} = a^{m+n}$ . For the variable $x$ , we have $x^{4}\cdot x^{1}$ (since $x = x^{1}$ ), which gives $x^{4+1} = x^{5}$ . For the variable $y$ , we have $y^{2}\cdot y^{4}$ , which gives $y^{2+4} = y^{6}$ .
Combine final expression: Combine the results from the previous steps to form the final simplified expression. $\newline$ The coefficient is $-10$ , the power of $x$ is $5$ , and the power of $y$ is $6$ . $\newline$ So the simplified expression is $-10x^{5}y^{6}$ .