In mathematics there is a rule of exponents where we can "distribute" the powers/exponents in the numerator and denominator of any expression. Therefore, given an expression as , the exponent n can be "distributed" as:
.
In our case, the power, n=11; a=7 and b=4. Thus, the expression , can be written as
.
Thus, out of the given options, option A is the correct option.
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.