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Fully simplify.

-2x^(5)y^(2)(-14y^(2))
Answer:

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

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Evaluate rational exponents

Full solution

Q. Fully simplify.

\newline

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

\newline

Answer:

Distribute and Multiply: Distribute the multiplication across the terms. $\newline$ We have $-2x^{5}y^{2}$ multiplied by $-14y^{2}$ . When multiplying, we multiply the coefficients (numerical values) and add the exponents of like bases. $\newline$ $-2 \times -14 = 28$ $\newline$ $x^{5}$ remains unchanged as there is no other x term to combine with. $\newline$ $y^{2} \times y^{2} = y^{2+2} = y^{4}$
Combine Results: Combine the results from Step $1$ . $\newline$ Now we combine the coefficients and the variables with their new exponents to get the simplified expression. $\newline$ $28x^{5}y^{4}$

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