F^2 • f^4
A, (2f)^8
B, (2f)^6
C, f^8
D, f^6
f^2 * f^6 = ?
When you have a variable to an exponent, multiplied by the same variable to an exponent, what do you do?
If F and f are simply variables and of the same type (why is one upper case, the other lower?), and your • means multiplication
then f^6
just like (x^2) (x^4) = x^6
To simplify the expression F^2 • f^4, you need to understand the rules of exponents.
The rule states that when you multiply two powers with the same base, you add the exponents. In this case, you have F^2 • f^4. Since F and f have different bases, they cannot be combined.
However, you can simplify f^4 as (f^2)^2. This is because you can think of f^4 as f^2 • f^2.
Using this simplification, the expression becomes F^2 • (f^2)^2.
Now, let's simplify further. According to the rule, (f^2)^2 is equal to f^(2 • 2), which simplifies to f^4.
So, the expression F^2 • f^4 simplifies to F^2 • f^4 = F^2 • (f^2)^2 = F^2 • f^4 = (F • f^2)^2.
Comparing this result with the given answer choices, we can see that the correct simplified expression is A, (2f)^8.