Let's first write out the expression:
= 27 / 9 ^ a
Now, in order to write this expressiom as a single power of 3, we will have to look at the numerator & denominator separately & calculate which numbers to the power of 3 will give the original number in the numerator & denominator respectively. Here is the workimg out displayed below:
Numerator -
What number to the power of 3 gives 27?
3 ^ 3 = 27
Therefore, answer = 3
Denominator -
What number to the power of 3 gives 9 ^ a?
9 ^ a / 3 x 3 = 9 ^ a
Therefore, answer = 9 ^ a / 3
From this, we can put together the answers for the numerator & denominator & write them as a single power of 3 in order to give our final solution as displayed below:
= [ 3 / ( 9 ^ a / 3 ) ] ^ 3
