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Simplify. Express your answer using positive exponents. $\newline$ $(8m^4)(5m)(4m)$

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Multiply and divide powers: variable bases

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Q. Simplify. Express your answer using positive exponents.

\newline

(8m^4)(5m)(4m)

Multiply Coefficients: Multiply the coefficients (numerical parts) of the terms. $\newline$ We have $8$ , $5$ , and $4$ as coefficients. Multiplying these gives us: $\newline$ $8 \times 5 \times 4 = 40 \times 4 = 160$
Add Exponents: Multiply the variables with exponents by adding the exponents. $\newline$ We have $m^4$ , $m$ , and $m$ which are all the same base ( $m$ ). According to the rules of exponents, when we multiply like bases, we add the exponents. $\newline$ $m^4 \times m^1 \times m^1 = m^{4+1+1} = m^6$
Combine Results: Combine the results from Step $1$ and Step $2$ to get the final simplified expression. $\newline$ The final expression is the product of the numerical part and the variable part: $\newline$ $160m^6$

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