Simplifying algebraic expressions (exponents)?

Question

I do not get this question:

-3m^2n*4m^n^2/
(2m^2n)^2*3mn


Keep in mind the '*' actually stands for multiplication and the 'm' and 'n' are variables. The '/' is the line that separates the numerator from the denominator. Also, this symbol '^' means that the number to the right of it is a power. Ex. 3^2 is 3 to the power of 2. The three laws are: multiplication, division and power to power law. If you need any clarification about what those are I can answer that however, I can't figure out the answer to this question.

EXTRA :

a) substitute m=4 and n= -3 into the expression and evaluate it.
b) Simplify the original expression using the exponent laws.
c) Substitute m=4 and n= -3 into the simplified expression and evaluate it.

Answer 1

first do the parens in the denominator and then multiply to get





-12m^5n^3 / 12m^3n^3



this reduces to

- m^2



done



-

Answer 2

Simplifying Expressions With Exponents

Answer 3

1. D^3d^-4= d^ (3-4)=d^(-1) 2. W^21w^-12/w^9= w^(21-12)/w^9= w^9/w^9= w^(9-9)=w^0=1 3. (3x/y)^four[x^-8/(xy)^3]^-2=[3x^4/y^4][x^-eight... = [3x^4/y^4][x^16/x^-6y^-6] =[3x^4/y^4][x^(16+6) y^6] = 3x^4y^-4x^22y^6 = 3x^(4+22)y^(-four+6) = 3x^26y^2