Simplify: (k^(5))(9k^(2)) Answer:

Identify Terms: Identify the terms in the expression. In the expression (k^(5))(9k^(2)), we have two terms that are being multiplied together: k^(5) and 9k^(2).Apply Product Rule: Apply the product rule for exponents. The product rule states that when multiplying two powers with the same base, you add the exponents. Here, we have k^(5) * k^(2). k^(5) * k^(2) = k^(5+2) = k^(7)Multiply Constant Term: Multiply the constant term with the simplified power of k. We have the constant term 9 that needs to be multiplied with k^(7). 9 * k^(7) = 9k^(7)Write Final Expression: Write down the final simplified expression. The final simplified expression is 9k^(7).

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Simplify: $\newline$ $\left(k^{5}\right)\left(9 k^{2}\right)$ $\newline$ Answer:

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Algebra 2

Evaluate rational exponents

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Q. Simplify:

\newline

\left(k^{5}\right)\left(9 k^{2}\right)

\newline

Answer:

Identify Terms: Identify the terms in the expression. $\newline$ In the expression $(k^{5})(9k^{2})$ , we have two terms that are being multiplied together: $k^{5}$ and $9k^{2}$ .
Apply Product Rule: Apply the product rule for exponents. $\newline$ The product rule states that when multiplying two powers with the same base, you add the exponents. Here, we have $k^{5} \times k^{2}$ . $\newline$ $k^{5} \times k^{2} = k^{5+2} = k^{7}$
Multiply Constant Term: Multiply the constant term with the simplified power of $k$ . We have the constant term $9$ that needs to be multiplied with $k^{7}$ . $9 \times k^{7} = 9k^{7}$
Write Final Expression: Write down the final simplified expression. $\newline$ The final simplified expression is $9k^{7}$ .