Find the least common denominator.
-$\frac { 2 } { 9 x ^ { 4 } } + \frac { 8 } { 27 x ^ { 2 } }$
A) $27 x ^ { 6 }$
B) $243 x ^ { 6 }$
C) $27 x ^ { 4 }$
D) $243 x ^ { 4 }$

Question

Quizplus · Accepted Answer

The least common denominator (LCD) must account for both the highest power of $x$ found in the denominators and the least common multiple (LCM) of the numeric parts. The highest power of $x$ is $x^4$ from the first fraction. The LCM of 9 and 27 is 27, as 27 is the smallest number that both 9 and 27 can divide into without leaving a remainder. Therefore, the LCD is $27x^4$.

Find the Least Common Denominator 29x4+827x2\frac { 2 } { 9 x ^ { 4 } } + \frac { 8 } { 27 x ^ { 2 } }9x42​+27x28​

Find the Least Common Denominator $\frac { 2 } { 9 x ^ { 4 } } + \frac { 8 } { 27 x ^ { 2 } }$