Simplify this problem:
(1/2m^4n^5)^2
Just square the numerator AND he denominator
1/(4m^8*n^10)
Thank you so much drwls! I can not believe I did not figure that out!
To simplify the expression (1/2m^4n^5)^2, we can start by applying the exponent to each term inside the parentheses.
Step 1: Square the numerator term (1):
1^2 = 1
Step 2: Square the denominator term (2):
2^2 = 4
Step 3: Square the variable term m^4:
(m^4)^2 = m^(4*2) = m^8
Step 4: Square the variable term n^5:
(n^5)^2 = n^(5*2) = n^10
Now we can combine all the simplified terms to get the final answer.
(1/2m^4n^5)^2 = (1^2)/(2^2*m^8*n^10) = 1/(4m^8n^10).
Therefore, the simplified form of the expression (1/2m^4n^5)^2 is 1/(4m^8n^10).