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.

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

y + 11 = (1/4)(x + 16)

step-by-step explanation: