Simplify: $\frac { 18 x ^ { 8 } } { 27 x ^ { 4 } }$
A) $\frac { 2 } { 3 x ^ { 4 } }$
B) $\frac { 2 x ^ { 2 } } { 3 }$
C) $\frac { x ^ { 2 } } { 9 }$
D) $\frac { 2 x ^ { 4 } } { 3 }$

Question

Quizplus · Accepted Answer

We can simplify the given expression by canceling out the common factor of 9 in the numerator and the denominator:

$$\frac { 18 x ^ { 8 } } { 27 x ^ { 4 } } = \frac {2 \cdot 9 \cdot x ^ { 4 } \cdot x ^ { 4 } } {3 \cdot 9 \cdot x ^ {4} }= \frac {2 x ^ { 4 } } { 3 }$$

Therefore, the answer is choice D.

Simplify 18x827x4\frac { 18 x ^ { 8 } } { 27 x ^ { 4 } }27x418x8​

Simplify $\frac { 18 x ^ { 8 } } { 27 x ^ { 4 } }$