Kenzie N. answered • 08/18/20

Experienced Highschool and Younger Tutor

Hey there Aubrey! Hopefully, I can clear up some confusion. When you have something like 2^x, the exponent is only attached to 2. That coefficient (the -4) isn't only multiplying the two like the situation of 2x, it's multiplying the whole thing of 2^x

Here's an example:

2^x

x | y

0 | 1

1 | 2

2 | 4 = 2*2

3 | 8 = 2*2*2

4 | 16 = 2*2*2*2

-4 * 2^x

So when x = 3

-4 * 2^3

-4 * 2 * 2 * 2

The Coefficient can't change or affect the 2^x because they have different exponential values, plus there is only one -4

Hopefully, this helped! A good reminder is to always put things connected to exponents in parenthesis! (EX: 4(x^2) or 3(3^x))

Aubrey K.

Thank you! That helps a lot!08/19/20