Question 1152502
8^0 * 2^-3 = 1 * 1/2^3 = 1 * 1/8 = 1/8
(2^3)^-2 = (1/(2^3)^2 = 1/2^6 = 1/64
(6^-1)^2= ) = (1/6)^2 = 1/36
x^-8 = 1/x^8
3x^-58^0 * 2^-3 ***** see below the rest of these.
(2^3)^-2 = 8^-2 = 1/8^2 = 1/64
(6^-1)^2 = 1/6^1)^2 = (1/6)^2 = 1/36
x^-8 = 1/x^8
3x^-5 = 3/x^5


3x^-58^0 * 2^-3 = 3x^(-58^0) * 2^-3 = 3x^(-1) *  1/2^3 = 3/x^1 * 1/8 = 3/8x


i checked these answers out and they appear to be good.


some concepts.


here's a reference on exponent arithmetic that you might find helpful.


<a href = "https://www.purplemath.com/modules/exponent.htm" target = "_blank">https://www.purplemath.com/modules/exponent.htm</a>