SOLUTION: Solve the expression: (x^4 y^4)^6 (xy^6)-4 divided by (x^4 y^3)

Question 393000: Solve the expression: (x^4 y^4)^6 (xy^6)-4 divided by (x^4 y^3)
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
Expression are simplified. Equations are solved.

I assume that the -4 is supposed to be an exponent because otherwise the expression cannot be simplified any more than it already is.

To simplify we use the order of operations (aka PEMDAS). So we start inside the parentheses. But the expressions within the parentheses cannot be simplified any further. Next is exponents. To raise a single term expression in parentheses to a power we use a property of exponents: . IOW we raise each individual factor to that power:

The rule for raising powers to powers is to multiply the exponents. This gives us:

We can multiply out the numerator by using the rule for multiplying with exponents: Add the exponents.

which gives us:

Now to divide we use that rule: Subtract the exponents.

which simplifies to:

If you don't want negative exponents, then we use the property :

which simplifies to:

RELATED QUESTIONS
Evaluate and explain the following expression. (xy)3 if x=4 and y=6 (answered by jim_thompson5910)

What is quotient if 3x^3y-xy^3 + 3x^2y^4-6 is divided by x +... (answered by Alan3354)

x(x^-3)^6(xy^6xy^-6)^-4y^4 --------------------------... (answered by stanbon)

solve the following if x = 6 and y = 4. 2xy + xy = 2y + xy - 4x... (answered by praseenakos@yahoo.com)

if x-y=-6 and xy=4, then find the value of... (answered by ankor@dixie-net.com)

solve by the addition method: (x/4) - (y-3) = -4 and (x/8) + (y/6) =... (answered by mananth)

Solve by the addition method: (x/4) � (y/3) = � 4 and (x/8) + (y/6) = 0 (answered by Fombitz)

6(-4)+8(3) over 6--4 the orginal problem is xy+8a over x-4 x=6, y=-4, a=3 over is for (answered by Fombitz)

4/x-4/y divided by... (answered by amoresroy)