Algebraic equation w/ exponents?

Question

(8m) (2mn)^3

really having trouble

Answer 1

(8m) (2mn)^3
= (8m) (2^3)(m^3)(n^3)
= (8m)(8)(m^3)(n^3)
multiply 8*8 and add the exponents on the m's
= 64m^4 n^3

Answer 2

Start with (2mn)^3

Cube each term

2^3 = 8
m^3 = m^3 (yes, just that simple!)
n^3 = n^3

giving you 8m^3n^3

Now (8m)(8m^3n^3)...

(8)(8) = 64
(m)(m^3) = m^4
n^3 unchanged

Final answer is then 64m^4n^3

Just keep like terms together, you're getting it! ;-)

Answer 3

Here is the simple, but slightly tedious way to do it:
8*m*2*m*n*2*m*n*2*m*n*
8*2*2*2=64
m*m*m*m=m^4
n*n*n=n^3
so the answer is 64*(m^4)*(n^3)

Answer 4

as a results of fact it has an expression as denominator, i understand this as a rational variable expression. it is extremely now not a function - a function relates one volume to a special say x and y. this is an expression as a results of fact it does now not relate x to a minimum of something else.

Answer 5

64m^4n^3