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Simplify. Express your answer using positive exponents. $\newline$ $(3r^7)(8r^5)(5r)$

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Multiply and divide powers: variable bases

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Q. Simplify. Express your answer using positive exponents.

\newline

(3r^7)(8r^5)(5r)

Multiply Coefficients and Variables: Multiply the coefficients (numbers) and the variables with exponents separately. $\newline$ First, we multiply the coefficients $3$ , $8$ , and $5$ . $\newline$ $3 \times 8 \times 5 = 24 \times 5 = 120$
Apply Product Rule for Exponents: Apply the product rule for exponents to the variables with exponents. $\newline$ The product rule states that when multiplying powers with the same base, you add the exponents. $\newline$ $r^7 \times r^5 \times r^1$ (since $r$ is the same as $r^1$ ) = $r^{7+5+1}$ = $r^{13}$
Combine Results for Final Expression: Combine the results from Step $1$ and Step $2$ to get the final simplified expression. $\newline$ The final expression is the product of the coefficient and the variable with the exponent. $\newline$ $120 \times r^{13}$

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