Fully simplify. 13x^(3)(-9x^(5)y^(4)) Answer:

Distribute Constant: Distribute the constant outside the parentheses across the terms inside the parentheses. We have 13x^(3) multiplied by each term inside the parentheses, which is -9x^(5)y^(4). Calculation: 13x^(3) * (-9x^(5)y^(4))Multiply Constants: Multiply the constants 13 and -9. Calculation: 13 * -9 = -117Apply Product Rule: Apply the product rule for exponents to multiply x^(3) and x^(5). The product rule states that when multiplying like bases, you add the exponents. Calculation: x^(3) * x^(5) = x^(3+5) = x^(8)Combine Like Terms: Since there is no other y term to combine with y^(4), we simply carry it over. Calculation: y^(4) remains unchanged.Final Simplified Expression: Combine the results from steps 2, 3, and 4 to get the final simplified expression. Calculation: -117 * x^(8) * y^(4)

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Fully simplify.

13x^(3)(-9x^(5)y^(4))
Answer:

Fully simplify. $\newline$ $13 x^{3}\left(-9 x^{5} y^{4}\right)$ $\newline$ Answer:

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Algebra 2

Evaluate rational exponents

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Q. Fully simplify.

\newline

13 x^{3}\left(-9 x^{5} y^{4}\right)

\newline

Answer:

Distribute Constant: Distribute the constant outside the parentheses across the terms inside the parentheses. $\newline$ We have $13x^{3}$ multiplied by each term inside the parentheses, which is $-9x^{5}y^{4}$ . $\newline$ Calculation: $13x^{3} \times (-9x^{5}y^{4})$
Multiply Constants: Multiply the constants $13$ and $-9$ . $\newline$ Calculation: $13 \times -9 = -117$
Apply Product Rule: Apply the product rule for exponents to multiply $x^{3}$ and $x^{5}$ . The product rule states that when multiplying like bases, you add the exponents. Calculation: $x^{3} \times x^{5} = x^{3+5} = x^{8}$
Combine Like Terms: Since there is no other $y$ term to combine with $y^{4}$ , we simply carry it over. $\newline$ Calculation: $y^{4}$ remains unchanged.
Final Simplified Expression: Combine the results from steps $2$ , $3$ , and $4$ to get the final simplified expression. $\newline$ Calculation: $-117 \times x^{8} \times y^{4}$