SOLUTION: I need some help with this problem: Simplify (3y^8/2zy^2)^4 Thanks on advance

Question 170952: I need some help with this problem:
Simplify (3y^8/2zy^2)^4
Thanks on advance
Found 2 solutions by jim_thompson5910, angel1286:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Note: . Notice how the exponents are being multiplied.

Also, we can write 3 as , 2 as , and "z" as which will make the expression

Start with the given expression

Break up the fraction

Multiply the outer exponent by EVERY exponent inside the parenthesis

Multiply the exponents.

Raise 3 to the 4th power to get 81. Raise 2 to the 4th power to get 16.

Now divide the "y" terms by subtracting their exponents

Subtract

So simplifies to
Answer by angel1286(3) (Show Source): You can put this solution on YOUR website!
first simplify with the parenthesis: the 3 and the 2 cannot be divided so leave them like they are, but the "y" can be so according to power rules, in a division we would subtract the exponents so
the the equation looks like because the 3 and the 2 are raised to the fourth and the according to power rules, the power of a power multiplies each other.
RELATED QUESTIONS
Can you please help me with this problem. Simplify. All variables represent nonzero... (answered by london maths tutor)
(3y^8)^4 / (2zy^2) I started out with (3y^32) / (2zy^2) not sure where to go from... (answered by checkley77)
(3y^8)(2zy^2)^4 (answered by stanbon)
Please help me solve this equation (((3y^8)^4 above (2zy^2)^4... (answered by palanisamy)
Hi I need some help with this problem: Graph y=5x-2 Thanks in... (answered by jim_thompson5910)
hello, I really need some help with this problem: -5y^4(y^5)^2 _____________... (answered by stanbon,checkley77)
Hi, I was wondering how to simplify expressions with the distributive property. In... (answered by checkley77)
I need some help with this problem:... (answered by drglass,khwang)
i need help with a math problem 2zy over y2 equals 14 over... (answered by unlockmath)