SOLUTION: (4x to the -3) (z) divided by (2 to the -2)(y to the 4)(w to the -2) = ? The answer is supposed to be (16w squared)(z) divided by (x cubed)(y to the 4th) For step 1, I remove

Algebra ->  Exponents -> SOLUTION: (4x to the -3) (z) divided by (2 to the -2)(y to the 4)(w to the -2) = ? The answer is supposed to be (16w squared)(z) divided by (x cubed)(y to the 4th) For step 1, I remove      Log On


   



Question 976134: (4x to the -3) (z) divided by (2 to the -2)(y to the 4)(w to the -2) = ?
The answer is supposed to be (16w squared)(z) divided by (x cubed)(y to the 4th)
For step 1, I remove the negative exponents and get: (z)/(4x cubed) divided by (y to the 4th) / (4w squared).
For step 2, I invert the denominator and multiply the following: (z)/(4x cubed) times (4w squared / (y to the 4th).
After this I'm making an error because I'm not getting to the coefficient of 16 in the numerator and 1 in the denominator.
Thank you in advance for any help.
Helen

Found 2 solutions by Boreal, solver91311:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
4x^-3) * 4z *y^-4*w^2
One error is 4x^-3. This has to be written carefully, for (4x)^-3 is very different (1/64x^3). You want 4 in the numerator/x^3 in the den.
4x^-3 *4z because divide by 2^-2 is to divide by 1/4 or multiply by 4 /y^4
x^-3 is 1/x^3
4*4 is 16
Leave the 4 alone and recognize that dividing by 2^-2 is another 4, and your numerator will be 16.

Put them together: {16 z/x^3} * {w^2/y^4}

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




And you assert that this is equal to



Why did you put the factor of 4 that was in the original numerator into a denominator? There is no negative exponent on that coefficient.




Try it again with this fact in mind and see what happens. Write back if you are still having difficulty.

John

My calculator said it, I believe it, that settles it