Question

Can somebody walk me through this question
I've watched a couple videos but still don't understand..

4(3x^2 y^4)^3/(2x^3y^5)^4

Answer 1

https://prnt.sc/pnu56m

Answer 2

\[ \frac{ 4(3x^{2}y^{4})^{3} }{ (2x^{3}y^{5})^{4} } \]

\[ \frac{ 2^{2}(3^{3}x^{6}y^{12}) }{ 2^{4}x^{12}y^{20} } \]

\[ \frac{ 3^{3} }{ 2^{2}x^{6}y^{8} } \]


Do you see what I did in each step?

Answer 3

Step 1 :
Equation at the end of step 1 :
(((3•(x2))•(y4))3)
4•——————————————————
((2x3•(y5))4)
Step 2 :
Equation at the end of step 2 :
((3x2 • (y4))3)
4 • ———————————————
24x12y20
Step 3 :
33x6y12
Simplify ————————
24x12y20
Dividing exponential expressions :
3.1 x6 divided by x12 = x(6 - 12) = x(-6) = 1/x6

Dividing exponential expressions :
3.2 y12 divided by y20 = y(12 - 20) = y(-8) = 1/y8

Equation at the end of step 3 :
27
4 • ——————
16x6y8
Step 4 :
Final result :
27
—————
4x6y8

Answer 4

\frac{27}{4x^6y^8}

Answer 5

complicated