Fully simplify. 2x^(2)y^(3)(-7x^(2)y^(5)) Answer:

Multiply Coefficients: To simplify the expression, we need to multiply the coefficients (numerical values) together and apply the product rule for exponents, which states that when multiplying like bases, you add the exponents. Calculation: $2 \times (-7) = -14$Apply Product Rule: Now we apply the product rule to the variables with exponents. For $x^2 \times x^2$, we add the exponents since the bases are the same. Calculation: $x^{2+2} = x^4$Combine Variables: We do the same for the $y$ terms: $y^3 \times y^5$. Calculation: $y^{3+5} = y^8$Write Simplified Expression: Combine the results from the previous steps to write the fully simplified expression. Calculation: $-14x^4y^8$

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Fully simplify.

2x^(2)y^(3)(-7x^(2)y^(5))
Answer:

Fully simplify. $\newline$ $2 x^{2} y^{3}\left(-7 x^{2} y^{5}\right)$ $\newline$ Answer:

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Full solution

Q. Fully simplify.

\newline

2 x^{2} y^{3}\left(-7 x^{2} y^{5}\right)

\newline

Answer:

Multiply Coefficients: To simplify the expression, we need to multiply the coefficients (numerical values) together and apply the product rule for exponents, which states that when multiplying like bases, you add the exponents. $\newline$ Calculation: $2 \times (-7) = -14$
Apply Product Rule: Now we apply the product rule to the variables with exponents. For $x^2 \times x^2$ , we add the exponents since the bases are the same. $\newline$ Calculation: $x^{2+2} = x^4$
Combine Variables: We do the same for the $y$ terms: $y^3 \times y^5$ . $\newline$ Calculation: $y^{3+5} = y^8$
Write Simplified Expression: Combine the results from the previous steps to write the fully simplified expression. $\newline$ Calculation: $-14x^4y^8$