Simplify.
12n^2m^4
________
28n^4m^3
thank you!
12/28 = 3/7
n^2/n^4 = n^-2
m^4/m^3 = m^1 = m
so
3 n^-2 m
or
3 m
-----
n^2
Thank you!
You are welcome :)
To simplify the expression (12n^2m^4) / (28n^4m^3), you can apply the rules of exponents and perform some algebraic manipulations.
Step 1: Divide the coefficients
The first step is to divide the coefficients: 12 ÷ 28 = 3/7.
So far, the expression simplifies to:
(3/7) * (n^2m^4) / (n^4m^3)
Step 2: Simplify the variables
Next, simplify the variables by subtracting the exponents with the same base. In this case, divide the powers of n and m:
n^2 / n^4 = 1/n^(4-2) = 1/n^2
m^4 / m^3 = m^(4-3) = m^1 = m
The expression now becomes:
(3/7) * (1/n^2) * (m)
Step 3: Combine the terms
Finally, combine the terms by multiplying the numerical coefficient with the variables.
The simplified expression is:
(3/7) * (1/n^2) * m = 3m / (7n^2)