Simplify: (2c^(3))(7c^(2)) Answer:

Multiply Coefficients and Add Exponents: To simplify the expression (2c^(3))(7c^(2)), we need to multiply the coefficients (numerical parts) and add the exponents of the variables with the same base according to the laws of exponents. Calculation: 2 * 7 = 14 Exponents: c^(3) * c^(2) = c^(3+2) = c^(5)Combine Results: Combine the results from the multiplication of coefficients and the addition of exponents to get the final simplified expression. Calculation: 14c^(5)

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Simplify: $\newline$ $\left(2 c^{3}\right)\left(7 c^{2}\right)$ $\newline$ Answer:

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Algebra 2

Simplify variable expressions using properties

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Q. Simplify:

\newline

\left(2 c^{3}\right)\left(7 c^{2}\right)

\newline

Answer:

Multiply Coefficients and Add Exponents: To simplify the expression $(2c^{3})(7c^{2})$ , we need to multiply the coefficients (numerical parts) and add the exponents of the variables with the same base according to the laws of exponents. $\newline$ Calculation: $2 \times 7 = 14$ $\newline$ Exponents: $c^{3} \times c^{2} = c^{3+2} = c^{5}$
Combine Results: Combine the results from the multiplication of coefficients and the addition of exponents to get the final simplified expression. $\newline$ Calculation: $14c^{5}$