Math homework help please?

Question

(3ab 2) 3
( 3ab squared) to the power of three.
How do you simplify this equation?
i got 3ab (6) but the answer is 27a (2) b (2)

How do you get this?

Answer 1

i am using ^ to denote power
remember the formula for power is (x^m)^n = x ^(mn)
and (ab)^m = a^m b^m

so (3ab^2)^3 = (3)^3 a^ 3 b^ 2x3 = 27 a^3 b^6

(perhaps your answer key is wrong)