# Math Help - How to multiply unlike indices and write them as a certain single power?

1. ## 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.

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

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

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