QuestionAugust 24, 2025

Find the product and simplify. (x^6)(-3x^9)

Find the product and simplify. (x^6)(-3x^9)
Find the product and simplify. (x^6)(-3x^9)

Solution
4.3(417 votes)

Answer

-3x^{15} Explanation 1. Multiply the coefficients Multiply 1 (coefficient of x^6) by -3 to get -3. 2. Add the exponents Use **the product of powers rule**: x^a \cdot x^b = x^{a+b}. Here, a = 6 and b = 9, so x^{6+9} = x^{15}. 3. Combine results Combine the coefficient and the power of x: -3x^{15}.

Explanation

1. Multiply the coefficients<br /> Multiply $1$ (coefficient of $x^6$) by $-3$ to get $-3$.<br /><br />2. Add the exponents<br /> Use **the product of powers rule**: $x^a \cdot x^b = x^{a+b}$. Here, $a = 6$ and $b = 9$, so $x^{6+9} = x^{15}$.<br /><br />3. Combine results<br /> Combine the coefficient and the power of $x$: $-3x^{15}$.
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