Question

Please simplify and explain to me how to do each of these. Greatly appreciated.

x = multiply sign (not a variable)

a)((9)^(1/2) (4)^2) / 24

b) (16)(2)^(x+2) The x here is a variable, not multiplication sign)

c) (3)^(-8)/ (3)^(-6) (3)^(-5)

d) ((4)^(-2) + (2)^(-4))^(-1)

Thank you so much if you can.

Answer 1

((9)^(1/2) (4)^2) / 24
(3 * 16)/24
48/24
2

(16)(2)^(x+2)
(2^4)(2^(x+2)
2^(x+6)
or
64*2^x

(3)^(-8)/ (3)^(-6) (3)^(-5)
(3)^(-8)/ (3)^(-11)
3^(-8-(-11))
3^3
27

((4)^(-2) + (2)^(-4))^(-1)
(1/16 + 1/16)^(-1)
(1/8)^(-1)
8

Answer 2

Thank yu so much!