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Simplify. Express your answer using positive exponents. $\newline$ $(6d)(2d^7)(6d)$

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Multiply and divide powers: variable bases

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Q. Simplify. Express your answer using positive exponents.

\newline

(6d)(2d^7)(6d)

Multiply Coefficients and Variables: Multiply the coefficients (numbers) and the variables with exponents separately. $\newline$ First, multiply the coefficients $6, 2,$ and $6$ . $\newline$ $6 \times 2 \times 6 = 72$ $\newline$ Next, multiply the variables with exponents $d$ and $d^7$ . Since $d$ is the same as $d^1$ , we use the product rule of exponents which states that when multiplying like bases, you add the exponents. $\newline$ $d^1 \times d^7 = d^{(1+7)} = d^8$
Calculate Coefficients: Combine the results from Step $1$ to form the final expression. The final expression is the product of the coefficient $72$ and the variable with exponent $d^8$ . $72 \times d^8$

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