Answer:
[tex]\displaystyle \frac{12^5}{12^7}[/tex]
Step-by-step explanation:
Equivalent Fractions
We need to recall the following properties of exponentials:
[tex]\displaystyle \frac{x^a}{x^b}=x^{a-b}=\frac{1}{x^{b-a}}[/tex]
Additionally, we have that 144=[tex]12^2[/tex], thus the given expression
[tex]\displaystyle \frac{1}{144}=\frac{1}{12^2}[/tex]
From the options presented, we have to find which one gives 12 squared in the denominator. It's apparent that the first choice:
[tex]\displaystyle \frac{12^5}{12^7}=\frac{1}{12^{7-5}}=\frac{1}{12^2}[/tex]
Is the correct choice.
Answer:
[tex]\mathbf{\displaystyle \frac{12^5}{12^7}}[/tex]
