Use the quotient rule to simplify the expression.
-$\frac { ( - 4 ) ^ { 19 } } { ( - 4 ) ^ { 17 } }$
A)16
B) $\frac { 1 } { 16 }$
C) $\frac { 1 } { - 16 }$
D)-16

Name: Use the quotient rule to simplify the expression. -$\frac { ( - 4 ) ^ { 19 } } { ( - 4 ) ^ { 17 } }$ A)16 B) $\frac { 1 } { 16 }$ C) $\frac { 1 } { - 16 }$ D)-16
Brand: Quizplus
Rating: 4.8 (31 reviews)

Question

Quizplus · Accepted Answer

The quotient rule for exponents states that $\frac{a^m}{a^n} = a^{m-n}$. Applying this to $\frac{(-4)^{19}}{(-4)^{17}}$, we get $(-4)^{19-17} = (-4)^2 = 16$.

Use the Quotient Rule to Simplify the Expression (−4)19(−4)17\frac { ( - 4 ) ^ { 19 } } { ( - 4 ) ^ { 17 } }(−4)17(−4)19​

Use the Quotient Rule to Simplify the Expression $\frac { ( - 4 ) ^ { 19 } } { ( - 4 ) ^ { 17 } }$