Question

Help me understand, I need to pass, and im having trouble!
What is the product of 3.4 × 10−14 and 1.8 × 1028?
6.12 × 1014 9.4 × 1014 5.2 × 1042 6.12 × 1042
Which of the following is equivalent to (ab)4?
a4b a4b4 ab4 4ab

Answer 1

iLL GIVE YOU A MEDAL

Answer 2

You need to use BIDMAS rule: BRACKETS, INDEX, Multipication, Addition, Subtraction, in that order.
So, a product means two factors multiplied together, so the product of (3.4 x 10-14) and (1.8 x 1.028) is (3.4 x 10-14) x (1.8 x 1.028).
so, since bidmas rule says do multiplication before subtraction this becomes 3.4 x 10 = 34, then minus 14 from that = 30
so, we have (30) x (1.8 x 1.028) = (30) x (1.8504) =55.512

Answer 3

(ab)4 is the same as 4(ab).. why? it is known as the commutative property
imagine a = 2 and b = 3 well then ab = 6 and (ab)4 = (6)4 = 24
or if a = 3 and b = 2 then also ab = 6 and (ab)4 = (6)4 = 24
so a4b = (ab)4
and ab4 = (ab)4
and 4ab = (ab)4
but not a4b4 (which is the distributive property)