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 and Explanation:
Gina wanted to swim at the pool. She is allowed to spend at most $30. The cost to swim in the pool is 3 dollars per hour plus a flat fee of $3. How many hours can Gina swim without going over her spending limit?
This problem can be represented by .
'x' would be the number of hours. "At most" means less than or equal to. So, the value of x would have to be less than or equal to 30.
So, Gina would have a maximum of 9 hours to swim in the pool.
Hope this helps.
