SOLUTION: (3^(-1)X^(3)Y^(-5))(3^(-1)Y^(-2))^-2 Thannkyou for your help. I tried distributing the -2 first and then keep coefficients and add exponents but i am lost.

Question 816550: (3^(-1)X^(3)Y^(-5))(3^(-1)Y^(-2))^-2
Thannkyou for your help. I tried distributing the -2 first and then keep coefficients and add exponents but i am lost.
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

According to the order of operations (aka PEMDAS) we should start with the exponents (since nothing can be done within either set of parentheses). To raise the expression to the -2 power we use a rule for exponents, , which tells us that raising a multiple-factor term to a power, you raise each factor to that power:

To raise the powers of a power we use another rule for exponents, :

All that is left is multiplying. For this we use another rule for exponents, . We will use this on the 3's and the Y's:

which simplifies to:

P.S. While the property may look like a Distributive Property, it is not.
RELATED QUESTIONS
I need help factoring this expression (x+5)^2(x+y-2) I tried using the foil method on (answered by Alan3354)

Solve using the multiplication principle first. Then add. Then show your check for both (answered by solver91311,ewatrrr)

(x^2-18x+65)/(2x-1)(16x^2-26x+9) * (16x^2-28x+10)(8x-9)/(x^3+2x^2)(24x^2-150x+150) (answered by KMST)

Use the equation and type the ordered-pairs. 1) y=3^x 2) y = 10^x 3) y=(1/2)^x (answered by richard1234)

can you help me solve for x and y [3 4y] = [ 3 2] 5 8 2x-1 8 (answered by venugopalramana)

Can you please help me with this problem: simplify: 3(5x^2)^(1/3) I tried to to... (answered by stanbon)

I have tried this with my son 4 times...could you please help!... (answered by stanbon)

1/x+1/y=8/15 1/x-1/y=2/15 solve the system I keep getting x=1/3 and... (answered by graphmatics,Gogonati)

Expand {{{(2x - y)^6}}} I was able to expand to: {{{1(2x^6-y^0) + 6(2x^5-y^1) +... (answered by Alan3354,jim_thompson5910)