SOLUTION: Can you help me to simplify the expression. (mēn⁻⁶)(mn)⁴

Algebra ->  Absolute-value -> SOLUTION: Can you help me to simplify the expression. (mēn⁻⁶)(mn)⁴      Log On


   

Question 866831: Can you help me to simplify the expression.
(mēn⁻⁶)(mn)⁴
Found 2 solutions by ewatrrr, Theo:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
(mēn⁻⁶)(mn)⁴ = %28m%5E2n%5E%28-6%29%29%28m%5E4n%5E4%29+=+%28m%5E6%29n%5E%28-2%29+=+m%5E6%2Fn%5E2+

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
expression is:
m^2*n^-6*(mn)^6
this becomes:
m^2*n^-6*m^6*n^6 which becomes:
m^8*n^0 which becomes:
m^8

^ is the symbol used for exponentiation.
for example: m^6 = m%5E6

details of the arithmetic used are:

(m*n)^6 = m^6 * n^6

m^2 * m^6 = m^(2+6) = m^8

n^(-6) * n^6 = n^(-6+6) = n^0 = 1