Simplify: (-2m^(4))(5m^(3)) Answer:

Identify Coefficients and Like Terms: Identify the coefficients and the like terms. In the expression (-2m^(4))(5m^(3)), the coefficients are -2 and 5, and the like terms are m^(4) and m^(3).Multiply Coefficients: Multiply the coefficients. Multiply -2 by 5 to get the new coefficient. -2 * 5 = -10Apply Product Rule for Exponents: Apply the product rule for exponents. When multiplying like bases, add the exponents: m^(4) * m^(3) = m^(4+3) = m^(7).Combine Results: Combine the results. Combine the new coefficient from Step 2 with the result from Step 3 to get the final simplified expression. -10 * m^(7) = -10m^(7)

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Simplify: $\newline$ $\left(-2 m^{4}\right)\left(5 m^{3}\right)$ $\newline$ Answer:

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Algebra 1

Multiplication with rational exponents

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Q. Simplify:

\newline

\left(-2 m^{4}\right)\left(5 m^{3}\right)

\newline

Answer:

Identify Coefficients and Like Terms: Identify the coefficients and the like terms. $\newline$ In the expression $(-2m^{4})(5m^{3})$ , the coefficients are $-2$ and $5$ , and the like terms are $m^{4}$ and $m^{3}$ .
Multiply Coefficients: Multiply the coefficients. $\newline$ Multiply $-2$ by $5$ to get the new coefficient. $\newline$ $-2 \times 5 = -10$
Apply Product Rule for Exponents: Apply the product rule for exponents. $\newline$ When multiplying like bases, add the exponents: $m^{4} \times m^{3} = m^{4+3} = m^{7}$ .
Combine Results: Combine the results. $\newline$ Combine the new coefficient from Step $2$ with the result from Step $3$ to get the final simplified expression. $\newline$ $-10 \times m^{7} = -10m^{7}$