Multiply the monomials.
-$\left( - \frac { 1 } { 5 } x ^ { 7 } \right) \left( \frac { 1 } { 4 } x ^ { 9 } \right)$
A) $\frac { 1 } { 20 } x ^ { 16 }$
B) $- \frac { 1 } { 20 } x ^ { 16 }$
C) - \frac { 1 } { 20 } x ^ { 63 }\)
D) $\frac { 1 } { 20 } x ^ { 63 }$

Question

Quizplus · Accepted Answer

When multiplying monomials, you multiply the coefficients and add the exponents of like bases. Here, $(- \frac{1}{5}) \times (\frac{1}{4}) = -\frac{1}{20}$ and $x^7 \times x^9 = x^{7+9} = x^{16}$, resulting in $-\frac{1}{20} x^{16}$.

Multiply the Monomials (−15x7)(14x9)\left( - \frac { 1 } { 5 } x ^ { 7 } \right) \left( \frac { 1 } { 4 } x ^ { 9 } \right)(−51​x7)(41​x9)

Multiply the Monomials $\left( - \frac { 1 } { 5 } x ^ { 7 } \right) \left( \frac { 1 } { 4 } x ^ { 9 } \right)$