Fully simplify. -6x^(4)y^(3)(14x^(2)y^(5)) Answer:

Distribute Terms: Distribute the multiplication across the terms inside the parentheses. We have -6x^(4)y^(3) multiplied by 14x^(2)y^(5). We will multiply the coefficients (-6 and 14) and add the exponents of like bases (x^(4) and x^(2), y^(3) and y^(5)). -6 * 14 = -84 (Multiplying the coefficients) x^(4) * x^(2) = x^(4+2) = x^(6) (Adding the exponents of x) y^(3) * y^(5) = y^(3+5) = y^(8) (Adding the exponents of y)Combine Results: Combine the results from Step 1 to write the simplified expression. The simplified expression is -84x^(6)y^(8).

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Fully simplify.

-6x^(4)y^(3)(14x^(2)y^(5))
Answer:

Fully simplify. $\newline$ $-6 x^{4} y^{3}\left(14 x^{2} y^{5}\right)$ $\newline$ Answer:

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Precalculus

Operations with rational exponents

Full solution

Q. Fully simplify.

\newline

-6 x^{4} y^{3}\left(14 x^{2} y^{5}\right)

\newline

Answer:

Distribute Terms: Distribute the multiplication across the terms inside the parentheses. $\newline$ We have $-6x^{4}y^{3}$ multiplied by $14x^{2}y^{5}$ . We will multiply the coefficients $-6$ and $14$ and add the exponents of like bases $x^{4}$ and $x^{2}$ , $y^{3}$ and $y^{5}$ . $\newline$ $-6 \times 14 = -84$ (Multiplying the coefficients) $\newline$ $x^{4} \times x^{2} = x^{4+2} = x^{6}$ (Adding the exponents of x) $\newline$ $14x^{2}y^{5}$ $0$ (Adding the exponents of y)
Combine Results: Combine the results from Step $1$ to write the simplified expression. $\newline$ The simplified expression is $-84x^{6}y^{8}$ .