I'm slightly confused about this question:

Suppose that you memorize a list of 100 German vocabulary words. Each week you forget 1/8 of the words you knew the previous week. The number of vocabulary words (V) that you remember after t weeks can be modeled by:
V=100(7/80)^t
Find the ratio of the number of words you remember in week 3 to the number of words you remember in week 9. Express your answer in simplest exponent form.
What is simplest exponent form?
I start with the ratio of:
100(7/8)^3:100(7/8)^9
do I cancel out everything except the 3:9?

Someone please help me!

In simplest exponent form, you need to simplify the expression by canceling out common factors between the numerator and denominator.

To find the ratio of the number of words you remember in week 3 to the number of words you remember in week 9, you start with the expression:

V(week 3) / V(week 9) = 100(7/8)^3 / 100(7/8)^9

Since both the numerator and denominator have the same base, 100, we can cancel it out:

V(week 3) / V(week 9) = (7/8)^3 / (7/8)^9

Now, when you divide the same base with exponent expressions, you subtract the exponents:

V(week 3) / V(week 9) = (7/8)^(3-9)

Simplifying further:

V(week 3) / V(week 9) = (7/8)^(-6)

Therefore, the ratio of the number of words you remember in week 3 to the number of words you remember in week 9 in simplest exponent form is (7/8)^(-6).

Simplest exponent form refers to expressing the answer using the fewest possible number of exponents. In this case, you should simplify the ratio of exponents as much as possible.

To find the ratio of the number of words remembered in week 3 to the number of words remembered in week 9, we can start with the expression:

100(7/80)^3 : 100(7/80)^9

Now, let's simplify this expression step by step:

First, we can cancel out the common factor of 100 from both sides:

(7/80)^3 : (7/80)^9

Next, we can simplify the exponents by subtracting them:

(7/80)^(9-3)

This simplifies to:

(7/80)^6

So, the ratio in simplest exponent form is (7/80)^6.