Natalie W. answered 10/25/22
Helping students of all ages achieve their "A-ha!" moment since 2008.
Let's look at exponents and terms with exponents.
We can use exponents when we're trying to show how many times a term is multiplied to itself. For example, if we have x5, read as "x to the 5th", we're saying that we're taking the base, x, and multiplying it to itself 5 times. In other words, we're writing it as: x*x*x*x*x.
We can have coefficients in front of the variable as well, such as with 3x5. The exponent is 5, the base is x, and the coefficient is 3. Unless there are parenthesis around both the coefficient and the base, the exponent only applies to the base, and not the coefficient.
Meaning, 3x5 = 3(x*x*x*x*x)
whereas, (3x)5 = (3x*3x*3x*3x*3x)