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Simplify:

(4d^(3))(-6d^(5))
Answer:

Simplify: $\newline$ $\left(4 d^{3}\right)\left(-6 d^{5}\right)$ $\newline$ Answer:

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Multiplication with rational exponents

Full solution

Q. Simplify:

\newline

\left(4 d^{3}\right)\left(-6 d^{5}\right)

\newline

Answer:

Identify Coefficients and Like Terms: Identify the coefficients and the like terms. The coefficients are the numerical parts of the terms, which are $4$ and $-6$ . The like terms are the $d$ terms with exponents, $d^{3}$ and $d^{5}$ .
Multiply Coefficients: Multiply the coefficients. $\newline$ Multiply $4$ by $-6$ to get the new coefficient. $\newline$ $4 \times -6 = -24$
Apply Product Rule for Exponents: Apply the product rule for exponents. The product rule states that when multiplying like bases, you add the exponents. So, add the exponents $3$ and $5$ . $3 + 5 = 8$
Combine Results: Combine the results from Step $2$ and Step $3$ . Combine the new coefficient from Step $2$ with the result of the exponent addition from Step $3$ to get the final answer. $-24d^{8}$

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