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

Distribute Constant and Multiply: Distribute the constant outside the parentheses across the terms inside the parentheses. We have 4y^2 multiplied by each term inside the parentheses (-2x^4y^5). Calculation: 4y^2 * -2x^4y^5Multiply Constants and Like Terms: Multiply the constants and the like terms. We multiply the constants 4 and -2 to get -8. We multiply the like terms y^2 and y^5 by adding their exponents to get y^(2+5) or y^7. We leave x^4 as it is because there are no other x terms to combine it with. Calculation: -8 * x^4 * y^7Write Simplified Expression: Write down the simplified expression. The final simplified expression is -8x^4y^7.

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Fully simplify.

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

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

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Algebra 2

Evaluate rational exponents

Full solution

Q. Fully simplify.

\newline

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

\newline

Answer:

Distribute Constant and Multiply: Distribute the constant outside the parentheses across the terms inside the parentheses. $\newline$ We have $4y^2$ multiplied by each term inside the parentheses $(-2x^4y^5)$ . $\newline$ Calculation: $4y^2 \times -2x^4y^5$
Multiply Constants and Like Terms: Multiply the constants and the like terms. $\newline$ We multiply the constants $4$ and $-2$ to get $-8$ . $\newline$ We multiply the like terms $y^2$ and $y^5$ by adding their exponents to get $y^{(2+5)}$ or $y^7$ . $\newline$ We leave $x^4$ as it is because there are no other $x$ terms to combine it with. $\newline$ Calculation: $-8 \times x^4 \times y^7$
Write Simplified Expression: Write down the simplified expression. $\newline$ The final simplified expression is $-8x^4y^7$ .