When the bases are the same, you can combine the exponents.
x³ [x is where the base is]
For example:
x³ · y² = x³y² You can't simplify this anymore because they have different bases/variables
[when you multiply a variable with an exponent by a variable with an exponent, you add the exponents together] so:
x² · x³ =
[when you multiply a variable with an exponent by an exponent, you multiply the exponents together] so:
(x³)²=
Answer:
40 students
Step-by-step explanation:
In this problem, one is given the ratio ( 8 : 3 ), since a ratio is another way of writing a fraction one can rewrite it as; (8) represent the number of students who want to learn about magnets, and (3) represents the number of students who want to learn about magic tricks.
In the problem, it is also given that 25 more students wanted to learn about magnets compared to magic tricks. If one uses the parameter (x) to represent the factor by which the fraction is reduced, then one can get the equation;
8x = 3x + 25
Use inverse operations to solve,
8x = 3x + 25
-3x
5x = 25
/5
x = 5
Substitute back in to find out how many students want to learn about magnets,
8x
= 8(5)
= 40