Multiply the monomials.
-$$\left( \frac { 1 } { 4 } x ^ { 8 } \right) \left( \frac { 1 } { 5 } x ^ { 2 } \right)$$
A) $- \frac { 1 } { 20 } x ^ { 16 }$
B) $- \frac { 1 } { 20 } x ^ { 10 }$
C) $\frac { 1 } { 20 } x ^ { 10 }$
D) $\frac { 1 } { 20 } x ^ { 16 }$

Question

Quizplus · Accepted Answer

When multiplying monomials, you multiply the coefficients and add the exponents of like bases. Here, $\frac{1}{4} \times \frac{1}{5} = \frac{1}{20}$ and $x^8 \times x^2 = x^{8+2} = x^{10}$, resulting in $\frac{1}{20}x^{10}$.

Multiply the Monomials (14x8)(15x2)\left( \frac { 1 } { 4 } x ^ { 8 } \right) \left( \frac { 1 } { 5 } x ^ { 2 } \right)(41​x8)(51​x2)

Multiply the Monomials $\left( \frac { 1 } { 4 } x ^ { 8 } \right) \left( \frac { 1 } { 5 } x ^ { 2 } \right)$