Simplify the expressions below by using the rules of exponents. A.2^4 B.3^0 C.4^6∙4^(-3) D.(2^3 )^2

The three rules that we have are:

Then let's solve the problems:

A) 2^4 = 2^(2*2) = (2^2)^2 = 4^2 = 16.

B) 3^0 = 3^(a - a) = 3^a/3^a = 1. (for any real number a)

From this we can conclude that the power 0 of any number is equal to 1.

C)  4^6*4^(-3) = 4^(6 - 3) = 4^3 = 64

D) (2^3)^2 = 2^(3*2) = 2^6 = 64

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.

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