Question

Simplify 12 to the power of 3 over 12 to the power of 7
Please????
Need help ASAP!!!!!!

Answer 1

Greetings from Brasil...

Here's our problem:

$\large{\frac{12^{3}}{12^{7}}}$

From potentiation properties:

Mᵃ ÷ Mᵇ = Mᵃ⁻ᵇ

division of power of the same base: I repeat the base and subtract the exponents

So, in our problem

$\large{\frac{12^{3}}{12^{7}}}$ = 12³ ÷ 12⁷

12³ ÷ 12⁴ = 12³⁻⁷

12⁻⁴

We also know about another property: P⁻ⁿ = (1/Pⁿ) so

12⁻⁴ = (1/12⁴)