How to multiply unlike indices and write them as a certain single power?

Hi guys I am currently studying for my GCSE Maths and I have a question which is... Write 9^3 X 27^2 as a single power of 3. Can anyone give me some advice as to how to go about solving this type of question? Or perhaps a link to a video or website which explains it? I do know the index laws but considering 9 and 27 are different I was quickly stuck. Thanks for any help in advance. :)

Re: How to multiply unlike indices and write them as a certain single power?

Quote:

Originally Posted by

**MattA147** Hi guys I am currently studying for my GCSE Maths and I have a question which is... Write 9^3 X 27^2 as a single power of 3.

$\displaystyle (x^2)^3=x^6~\&~(x^3)^2=x^6$.

$\displaystyle 9=3^2~\&~27=3^3$.