Question

Simplify 12 to the third power over 12 to the seventh power:

A. 12 to the fourth power
B. One over (twelve to the fourth power)
C. Once over (12 to the negative fourth power)
D. 12 to the tenth power

Answer 1

The correct answer is B. One over (twelve to the fourth power), which is found by subtracting the exponents when dividing with the same base.

Step-by-step explanation:

To simplify 12 to the third power over 12 to the seventh power, you use the rule of exponents which states that when you divide powers with the same base, you subtract the exponents.

In this case, you have 123 / 127.

Following the rule, you subtract the exponents: 3 - 7, which gives you 12-4.

This can also be written as 1 over (124), which is the inverse of 12 to the fourth power.

So the correct answer is B. One over (twelve to the fourth power).