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Simplify. Express your answer using positive exponents. $\newline$ $(9s^4)(8s)$

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Simplify exponential expressions using the multiplication rule

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Q. Simplify. Express your answer using positive exponents.

\newline

(9s^4)(8s)

Multiply Coefficients and Bases: \(9s^ $4$ )( $8$ s)\ Group the coefficients and powers that have the same base. \(9s^ $4$ )( $8$ s) = ( $9$ \times $8$ ) \times (s^ $4$ \times s)\
Calculate $9 \times 8$ : What is $9$ multiplied by $8$ ? $\newline$ $9 \times 8 = 72$
Combine Exponents: Write $s^4 \times s$ as the single exponent of $s$ . $\newline$ Add the exponents. When multiplying powers with the same base, you add the exponents. $\newline$ $s^4 \times s = s^{4+1} = s^5$
Simplify the Expression: We found: $\newline$ $9 \times 8 = 72$ $\newline$ $s^4 \times s = s^5$ $\newline$ Write $(9s^4)(8s)$ in simplest form. $\newline$ $(9s^4)(8s) = (9 \times 8) \times (s^4 \times s) = 72 \times s^5 = 72s^5$

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