Answer:
It is already rounded to the nearest tenth! Hope this helps!
Step-by-step explanation:
Solving the expressions
we get ![\frac{27}{4x^{6}y^{8}}](https://tex.z-dn.net/?f=%5Cfrac%7B27%7D%7B4x%5E%7B6%7Dy%5E%7B8%7D%7D)
Step-by-step explanation:
We need to Solve the expression: ![\frac{4(3x^2y^4)^3}{(2x^3y^5)^4}](https://tex.z-dn.net/?f=%5Cfrac%7B4%283x%5E2y%5E4%29%5E3%7D%7B%282x%5E3y%5E5%29%5E4%7D)
Solving:
![\frac{4(3x^2y^4)^3}{(2x^3y^5)^4}](https://tex.z-dn.net/?f=%5Cfrac%7B4%283x%5E2y%5E4%29%5E3%7D%7B%282x%5E3y%5E5%29%5E4%7D)
![=\frac{4(3^3x^6y^{12})}{(2^4x^{12}y^{20})}\\=\frac{4(27x^6y^{12})}{(16x^{12}y^{20})}\\=\frac{108x^6y^{12}}{16x^{12}y^{20}}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B4%283%5E3x%5E6y%5E%7B12%7D%29%7D%7B%282%5E4x%5E%7B12%7Dy%5E%7B20%7D%29%7D%5C%5C%3D%5Cfrac%7B4%2827x%5E6y%5E%7B12%7D%29%7D%7B%2816x%5E%7B12%7Dy%5E%7B20%7D%29%7D%5C%5C%3D%5Cfrac%7B108x%5E6y%5E%7B12%7D%7D%7B16x%5E%7B12%7Dy%5E%7B20%7D%7D)
Applying exponent rule: ![\frac{x^a}{x^b}=x^{a-b}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5Ea%7D%7Bx%5Eb%7D%3Dx%5E%7Ba-b%7D)
![=\frac{108x^{6-12}y^{12-20}}{16}\\=\frac{27x^{-6}y^{-8}}{4}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B108x%5E%7B6-12%7Dy%5E%7B12-20%7D%7D%7B16%7D%5C%5C%3D%5Cfrac%7B27x%5E%7B-6%7Dy%5E%7B-8%7D%7D%7B4%7D)
Another exponent rule says: ![x^{-a}=\frac{1}{x^a}=](https://tex.z-dn.net/?f=x%5E%7B-a%7D%3D%5Cfrac%7B1%7D%7Bx%5Ea%7D%3D)
![=\frac{27}{4x^{6}y^{8}}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B27%7D%7B4x%5E%7B6%7Dy%5E%7B8%7D%7D)
So, solving the expressions
we get ![\frac{27}{4x^{6}y^{8}}](https://tex.z-dn.net/?f=%5Cfrac%7B27%7D%7B4x%5E%7B6%7Dy%5E%7B8%7D%7D)
Keywords: Solving Exponents
Learn more about Solving Exponents at:
#learnwithBrainly
Answer:
4 then 6 then 8
Step-by-step explanation:
2×2=4
2×3=6
2×4=8
It would be 3.87,to the nearest hundred cause the real length is √15