hello5319 hello5319
  • 18-08-2020
  • Mathematics
contestada

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

Respuesta :

tomson1975
tomson1975 tomson1975
  • 21-08-2020

Greetings from Brasil...

Here's our problem:

[tex]\large{\frac{12^{3}}{12^{7}}}[/tex]

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

[tex]\large{\frac{12^{3}}{12^{7}}}[/tex] = 12³ ÷ 12⁷

12³ ÷ 12⁴ = 12³⁻⁷

12⁻⁴

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

12⁻⁴ = (1/12⁴)

Answer Link

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