What is the value of c in the equation below?

Explanation:

We'll use the rule

x^y*x^z = x^(y+z)

This says that when we multiply exponential expressions with the same base, we add the exponents. In this case, the base is 2 so x = 2.

The exponents we're adding are -4 and 2

So,

2^(-4)*2^2 = 2^(-4+2) = 2^(-2)

This matches up with the a^b to show that a = 2 and b = -2

Furthermore, we'll use the rule that x^(-y) = 1/(x^y) to go from 2^(-2) to 1/(2^2) = 1/4 which is the value of c.

$650 per month plus utilities

step-by-step explanation:

just based on the info you gave, it would seem more cost effective to rent at $650 per month plus utilities.   if utilities are, in fact, $150 per month, your monthly living costs would be $800 as opposed to the other option of $825.

14.3

step-by-step explanation:

add all the numbers together.

9 + 12 + 15 + 16 + 17 + 17 = 86

now, divide 86 by how many numbers we have: 6.

86 / 6 = 14.3