Write the product: $a ^ { 6 } \left( a ^ { - 8 } \right) \left( a ^ { 4 } \right)$
A) $x - 2$
B) $x ^ { 6 }$
C) $x ^ { - 192 }$
D) $x ^ { 2 }$

Question

Write the product: $a ^ { 6 } \left( a ^ { - 8 } \right) \left( a ^ { 4 } \right)$ 
A) $x - 2$
B) $x ^ { 6 }$
C) $x ^ { - 192 }$
D) $x ^ { 2 }$

Quizplus · Accepted Answer

To simplify the product, we can use the rule that $a^{-n}=\frac{1}{a^n}$. Rewriting the given product using this rule, we get:

$$a^6\left(a^{-8}\right)\left(a^4\right)=a^6\cdot\frac{1}{a^8}\cdot a^4=a^{6-8+4}=a^2$$

Therefore, the answer is (D) $x^2$.

Write the Product a6(a−8)(a4)a ^ { 6 } \left( a ^ { - 8 } \right) \left( a ^ { 4 } \right)a6(a−8)(a4)