1. Expands the following indices and calculate the answers, example 2 2 = 2 x 2 = 4 a. 2 5
b. 3 3
c. 10 3
d. 1 4
e. 5 3

2. Contract and write the following expansions to index form., example 2 x 2 x 2 = 2 3
a. 2 x 2 x 2 x 2 =
b. 4 x 4 =
c. 10 x 10 x 10 x4 x 4 x 4x 4 =
d. 3 x 3 x 3 x 3 x 3 x 3 x 3=
e. 5 x 5 x 5 x 3 x 3=

If f(x) = 4x – 3 and g(x) = 8x + 2, find each function value a.f[g(3)] b.g[f(5)] c.g{f[g(-4)]}

Does anyone know how to do geometryme with this problem

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?