The answer is B: a^3b^4<span>
Proof:
Simplify the following:
(a^7 b^8)/(a^4 b^4)
Combine powers. (a^7 b^8)/(a^4 b^4) = a^(7 - 4) b^(8 - 4):
a^(7 - 4) b^(8 - 4)
7 - 4 = 3:
a^3 b^(8 - 4)
8 - 4 = 4:
Answer: a^3 b^4
PS: I just wish that you put the equation down as it's intended i.e.
a^7b^8/a^4b^4 is not the same as (<span>a^7b^8)/(a^4b^4)</span>
</span>
Answer:
25
Explanation:
In order to solve this the easiest way you can use equivalent fractions.
Since 4 times 5 equals 20 we can multiply 5 times 5 to get our answer.
25 is the answer. But, if we couldn't have gotten to 20 through the multiplication we could use a proportion. That would look like the initial problem but instead of a "?" we would use a variable. I will use <em>t</em> for total.
So now we have our problem set up. The next step is to cross multiply. 4 by <em>t</em> and 5 by 20.
And now we can solve it like a normal algebra problem.
Either way, we get 25.
6^2 is rational because it equals 36 which is a rational number.