How to Simplify Exponents FAST || Algebra Made Easy

Added: 2026-05-20

[00:00:01]Now, in order to simplify this, let us let us express them in a common base.

[00:00:08]So, these two are up in the fraction, while this one is a denominator in the fraction. So, this nine can be expressed as three to the power two, and then all to the power two n minus one, and then multiply by 27 can be expressed as three to the power three, and then all multiplied by n plus one, and then divided by this denominator is already in the base three, so we simply have three to the power four n.

[00:00:44]Now, according to indices, powers multiply each other. So, I'm going to use this to multiply that, and that will be three to expand this will be four n minus two, because this two will also multiply this, and then multiply by this is three to the power three n and then plus three, and then all to the power four I mean, three raised to the power four n.

[00:01:16]Now, according to the law of indices, in division, we subtract power, but in multiplication, we add power. So, we're going to take just one of the bases, and then we add these powers and then subtract these four n power. So, it's going to be three I'll have four n minus two, so I'm going to add this other power, which is plus three n plus three, and then I'm going to subtract this power, because this is division. Because of this line here, we have division. So, I'm going to say minus four n.

[00:01:51]So, four n minus four n is already zero, and then what I'm left is 3 to the power 3 n is here.

[00:02:01]Let me write it first.

[00:02:03]And then, minus 2 plus 3.

[00:02:07]That will give me plus 1.

[00:02:10]So, the final answer is 3 to the power 3 n plus 1. Hope you enjoyed this video. Please don't forget to like, share, and join for more videos like this. Thank you for watching.