Answer:
i-b⁴
Explanation:
Hey there, buddy! Let's talk about a cool math rule that helps us simplify things. Do you know what division is? It's when we share or split things into equal parts. Well, we have a math problem here that involves division, but with something called exponents.
Exponents are a way to show when a number or letter is multiplied by itself multiple times. In this case, we have the letter "b" raised to different powers. We have b⁶ divided by b². Do you know what that means? It means we have b multiplied by itself six times, and we're dividing it by b multiplied by itself two times.
Now, here comes the special rule called the quotient rule for exponents. It says that when we divide two expressions with the same base, we can subtract their exponents. The base here is "b," so we subtract the exponent of the bottom from the exponent of the top.
In our problem, b⁶ divided by b², we can subtract ² from ⁶. When we do that, we get b⁴. That's our simplified answer! So, the expression b⁶ divided by b² is the same as b⁴.
Therefore, the correct answer is not "i-b⁴," but simply b⁴. Great job understanding the quotient rule for exponents! Keep up the good work with your math skills!