Using the appropriate property. Leave answers without denominators. Assume all expressions are defined. $\frac { x ^ { 8 } } { x ^ { - 3 } }$
A) $x ^ { 11 }$
B) $x ^ { 5 }$
C) $x ^ { - 5 }$
D) $x ^ { 8 }$
E) $x ^ { 3 }$

Question

Quizplus · Accepted Answer

Using the quotient of powers property, $$\frac{x^a}{x^b}=x^{a-b}.$$ Thus, $$\frac{x^8}{x^{-3}}=x^{8-(-3)}=x^{11}.$$ Therefore, the best choice is A.

Using the Appropriate Property x8x−3\frac { x ^ { 8 } } { x ^ { - 3 } }x−3x8​

Using the Appropriate Property $\frac { x ^ { 8 } } { x ^ { - 3 } }$