Order the expressions by choosing >,<,or =

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(c^b) = (ac)^b

  (a^b)(a^c) = a^(b+c)

__

1. 3^3 × 5^3 = (3×5)^3 = 15^3 . . . . equal

2. 3^5 × 3^3 = 3^(5+3) = 3^8 . . . . equal

3. 3^5 × 5^3 = 3^5 × (5^(5 -2) = (3^5 × 5^5) × 5^(-2)

  = 15^5 × 5^-2 < 15^15 . . . . less than

Additional comment

Your calculator can evaluate these expressions so you can see their relationships.

goog may have it for you

ruth is 6 years old

step-by-step explanation:

6 + 24 = 30,   so 6/30 = .2  

if you do 1/5 it also equals .2, so that is the answer.