Apply the product rule for exponents, if possible.
-$\left(-2 x^{3}\right)\left(9 x^{10} y^{6}\right)$

A) $18 x^{13} y^{6}$
B) $-18 x^{30} y^{9}$
C) $-18 x^{30} y^{6}$
D) $-18 x^{13} y^{6}$

Question

Apply the product rule for exponents, if possible.
-$\left(-2 x^{3}\right)\left(9 x^{10} y^{6}\right)$

A) $18 x^{13} y^{6}$
B) $-18 x^{30} y^{9}$
C) $-18 x^{30} y^{6}$
D) $-18 x^{13} y^{6}$

Quizplus · Accepted Answer

The product rule for exponents states that when multiplying two powers that have the same base, you add the exponents. Here, we multiply the coefficients (-2 and 9) to get -18, add the exponents of $x$ (3 and 10) to get $x^{13}$, and keep the $y^{6}$ term as is, resulting in $-18 x^{13} y^{6}$.

Apply the Product Rule for Exponents, If Possible (−2x3)(9x10y6)\left(-2 x^{3}\right)\left(9 x^{10} y^{6}\right)(−2x3)(9x10y6)

Apply the Product Rule for Exponents, If Possible $\left(-2 x^{3}\right)\left(9 x^{10} y^{6}\right)$