Question

Simplify 12 to the 3rd over 12 to the 7th

Answer 1

Sorry for no one responding to your post quickly, we’ll try and fix that.

So your equation looks like this.
\(\dfrac{12^3}{12^7}\)

Now, using the exponent rule of division, it states that any number with an exponent divided by another number with an exponent, those exponents shall subtract.

Knowing this we can change the division to a lone number.
\(12^\text{3-7}\)

So you would have \(12^\text{-4}\).

The exponent rule of negatives now come into play, this rule states that exponents can’t be negative and therefore must be under 1. This being said, you would get your answer using this rule.
\(12^\text{-4} \rightarrow \dfrac{1}{12^4}\)


OVERVIEW:
- Exponent rule of division used to subtract the exponents from one another.
- Exponents rule of negatives used to fix the -4 exponent.