Simplify: (-7k)(2k^(3)) Answer:

Identify Terms: Identify the terms to be multiplied. We have two terms: -7k and 2k^(3). We need to multiply these terms together.Apply Distributive Property: Apply the distributive property to multiply the coefficients and the variables separately. Multiply the coefficients (-7) and (2) together and then multiply the variables k and k^(3) together. Calculation: (-7) * (2) = -14Multiply Variables: Multiply the variables by adding their exponents. Since the bases of the variables are the same (k), we add the exponents. k has an exponent of 1 (since k = k^(1)) and k^(3) has an exponent of 3. Calculation: k^(1+3) = k^(4)Combine Results: Combine the results from Step 2 and Step 3 to get the final answer. Calculation: -14 * k^(4)

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

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Algebra 1

Multiplication with rational exponents

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Q. Simplify:

\newline

(-7 k)\left(2 k^{3}\right)

\newline

Answer:

Identify Terms: Identify the terms to be multiplied. $\newline$ We have two terms: $-7k$ and $2k^{3}$ . We need to multiply these terms together.
Apply Distributive Property: Apply the distributive property to multiply the coefficients and the variables separately. $\newline$ Multiply the coefficients $(-7)$ and $(2)$ together and then multiply the variables $k$ and $k^{3}$ together. $\newline$ Calculation: $(-7) \times (2) = -14$
Multiply Variables: Multiply the variables by adding their exponents. $\newline$ Since the bases of the variables are the same $k$ , we add the exponents. $k$ has an exponent of $1$ (since $k = k^{1}$ ) and $k^{3}$ has an exponent of $3$ . $\newline$ Calculation: $k^{1+3} = k^{4}$
Combine Results: Combine the results from Step $2$ and Step $3$ to get the final answer. $\newline$ Calculation: $-14 \times k^{4}$