Multiply the monomials.
-$$\left( - \frac { 1 } { 8 } x ^ { 9 } \right) \left( - \frac { 1 } { 9 } x ^ { 8 } \right)$$
A) $\frac { 1 } { 72 } x ^ { 72 }$
B) $\frac { 1 } { 72 } x ^ { 17 }$
C) $=- \frac { 1 } { 72 } x ^ { 72 }$
D) $=- \frac { 1 } { 72 } x ^ { 17 }$

Question

Quizplus · Accepted Answer

When multiplying monomials, you multiply the coefficients and add the exponents of like bases. Here, $(- \frac { 1 } { 8 }) \times (- \frac { 1 } { 9 }) = \frac { 1 } { 72 }$ and $x^{9} \times x^{8} = x^{9+8} = x^{17}$, making the correct answer $\frac { 1 } { 72 } x ^ { 17 }$.

Multiply the Monomials (−18x9)(−19x8)\left( - \frac { 1 } { 8 } x ^ { 9 } \right) \left( - \frac { 1 } { 9 } x ^ { 8 } \right)(−81​x9)(−91​x8)

Multiply the Monomials $\left( - \frac { 1 } { 8 } x ^ { 9 } \right) \left( - \frac { 1 } { 9 } x ^ { 8 } \right)$