Answer:
![2a^4b^6](https://tex.z-dn.net/?f=2a%5E4b%5E6)
Step-by-step explanation:
![a^2(ab^3)^2+b^2(a^2b^2)^2\\\\=a^2(a^2b^{2*3})+b^2(a^{2*2}b^{2*2})\\\\=a^2(a^2b^6)+b^2(a^4b^4)\\\\=a^{2+2}b^6+a^4b^{4+2}\\\\=a^4b^6+a^4b^6\\\\=2a^4b^6](https://tex.z-dn.net/?f=a%5E2%28ab%5E3%29%5E2%2Bb%5E2%28a%5E2b%5E2%29%5E2%5C%5C%5C%5C%3Da%5E2%28a%5E2b%5E%7B2%2A3%7D%29%2Bb%5E2%28a%5E%7B2%2A2%7Db%5E%7B2%2A2%7D%29%5C%5C%5C%5C%3Da%5E2%28a%5E2b%5E6%29%2Bb%5E2%28a%5E4b%5E4%29%5C%5C%5C%5C%3Da%5E%7B2%2B2%7Db%5E6%2Ba%5E4b%5E%7B4%2B2%7D%5C%5C%5C%5C%3Da%5E4b%5E6%2Ba%5E4b%5E6%5C%5C%5C%5C%3D2a%5E4b%5E6)
Combine the terms by multiplying into a single fraction.
![\bf{\dfrac{5}{2}x-7=\dfrac{3}{4}x+14 }](https://tex.z-dn.net/?f=%5Cbf%7B%5Cdfrac%7B5%7D%7B2%7Dx-7%3D%5Cdfrac%7B3%7D%7B4%7Dx%2B14%20%20%20%7D)
Find the common denominator.
![\bf{\dfrac{5x}{2}-7=\dfrac{3}{4}x+14 }](https://tex.z-dn.net/?f=%5Cbf%7B%5Cdfrac%7B5x%7D%7B2%7D-7%3D%5Cdfrac%7B3%7D%7B4%7Dx%2B14%20%20%20%7D)
Combine fractions with the lowest common denominator.
![\bf{\dfrac{5x(-7)}{2}=\dfrac{3}{4}x+14 }](https://tex.z-dn.net/?f=%5Cbf%7B%5Cdfrac%7B5x%28-7%29%7D%7B2%7D%3D%5Cdfrac%7B3%7D%7B4%7Dx%2B14%20%20%20%7D)
Multiply the numbers.
![\bf{\dfrac{5x-14}{2}=\dfrac{3}{4}x+14 }](https://tex.z-dn.net/?f=%5Cbf%7B%5Cdfrac%7B5x-14%7D%7B2%7D%3D%5Cdfrac%7B3%7D%7B4%7Dx%2B14%20%20%20%7D)
Combine the multiplied terms into a single fraction
![\bf{\dfrac{5x-14}{2}=\dfrac{3x}{4}+14 }](https://tex.z-dn.net/?f=%5Cbf%7B%5Cdfrac%7B5x-14%7D%7B2%7D%3D%5Cdfrac%7B3x%7D%7B4%7D%2B14%20%20%20%7D)
Find the common denominator.
![\bf{\dfrac{5x-14}{2}=\dfrac{3x}{4}+\dfrac{4\cdot14}{4} }](https://tex.z-dn.net/?f=%5Cbf%7B%5Cdfrac%7B5x-14%7D%7B2%7D%3D%5Cdfrac%7B3x%7D%7B4%7D%2B%5Cdfrac%7B4%5Ccdot14%7D%7B4%7D%20%20%20%20%7D)
Combine fractions with the lowest common denominator.
![\bf{\dfrac{5x-14}{2}=\dfrac{3x+4\cdot14}{4} }](https://tex.z-dn.net/?f=%5Cbf%7B%5Cdfrac%7B5x-14%7D%7B2%7D%3D%5Cdfrac%7B3x%2B4%5Ccdot14%7D%7B4%7D%20%20%20%7D)
Multiply the numbers.
![\bf{\dfrac{5x-14}{2}=\dfrac{3x+56}{4} }](https://tex.z-dn.net/?f=%5Cbf%7B%5Cdfrac%7B5x-14%7D%7B2%7D%3D%5Cdfrac%7B3x%2B56%7D%7B4%7D%20%20%20%7D)
Eliminate the denominators of the fractions.
![\bf{4\cdot\dfrac{5x-14}{2}=4\cdot\dfrac{3x+56}{4} }](https://tex.z-dn.net/?f=%5Cbf%7B4%5Ccdot%5Cdfrac%7B5x-14%7D%7B2%7D%3D4%5Ccdot%5Cdfrac%7B3x%2B56%7D%7B4%7D%20%20%20%7D)
Cancel the multiplied terms that are in the denominator.
![\bf{2(5x-14)=3x+56}](https://tex.z-dn.net/?f=%5Cbf%7B2%285x-14%29%3D3x%2B56%7D)
To distribute.
![\bf{10x-28=3x+56 }](https://tex.z-dn.net/?f=%5Cbf%7B10x-28%3D3x%2B56%20%7D)
Add 28 to both sides.
![\bf{10x-28+28=3x+56+28 }](https://tex.z-dn.net/?f=%5Cbf%7B10x-28%2B28%3D3x%2B56%2B28%20%7D)
Simplify
![\bf{10x=3x+84 }](https://tex.z-dn.net/?f=%5Cbf%7B10x%3D3x%2B84%20%7D)
Subtract 3x from both sides.
![\bf{10x-3x=3x+84-3x }](https://tex.z-dn.net/?f=%5Cbf%7B10x-3x%3D3x%2B84-3x%20%7D)
Simplify
![\bf{7x=84 }](https://tex.z-dn.net/?f=%5Cbf%7B7x%3D84%20%7D)
Divide both sides by the same factor.
![\bf{x=\dfrac{84}{7} }](https://tex.z-dn.net/?f=%5Cbf%7Bx%3D%5Cdfrac%7B84%7D%7B7%7D%20%7D)
Simplify
![\bf{x=12 \ \ \ === > \ \ \ Answer}](https://tex.z-dn.net/?f=%5Cbf%7Bx%3D12%20%5C%20%5C%20%5C%20%3D%3D%3D%20%3E%20%5C%20%5C%20%5C%20Answer%7D)
↓
<h3>Verification</h3>
Let x=12.
![\bf{\dfrac{5}{2}\times12-7=\dfrac{3}{4}\times12+14 }](https://tex.z-dn.net/?f=%5Cbf%7B%5Cdfrac%7B5%7D%7B2%7D%5Ctimes12-7%3D%5Cdfrac%7B3%7D%7B4%7D%5Ctimes12%2B14%20%20%20%7D)
![\bf{\dfrac{5\times12}{2}-7=\dfrac{3}{4}\times12+14 }](https://tex.z-dn.net/?f=%5Cbf%7B%5Cdfrac%7B5%5Ctimes12%7D%7B2%7D-7%3D%5Cdfrac%7B3%7D%7B4%7D%5Ctimes12%2B14%20%20%20%7D)
![\bf{\dfrac{60}{2}-7=\dfrac{3}{4}\times12+14 }](https://tex.z-dn.net/?f=%5Cbf%7B%5Cdfrac%7B60%7D%7B2%7D-7%3D%5Cdfrac%7B3%7D%7B4%7D%5Ctimes12%2B14%20%20%20%7D)
![\bf{30-7=\dfrac{3}{4}\times12+14 }](https://tex.z-dn.net/?f=%5Cbf%7B30-7%3D%5Cdfrac%7B3%7D%7B4%7D%5Ctimes12%2B14%20%20%20%7D)
![\bf{30-7=\dfrac{3\times12}{4}+14 }](https://tex.z-dn.net/?f=%5Cbf%7B30-7%3D%5Cdfrac%7B3%5Ctimes12%7D%7B4%7D%2B14%20%20%20%7D)
![\bf{30-7=\dfrac{36}{4}+14 }](https://tex.z-dn.net/?f=%5Cbf%7B30-7%3D%5Cdfrac%7B36%7D%7B4%7D%2B14%20%20%20%7D)
![\bf{30-7=9+14 }](https://tex.z-dn.net/?f=%5Cbf%7B30-7%3D9%2B14%20%20%20%7D)
![\bf{23=9+14 }](https://tex.z-dn.net/?f=%5Cbf%7B23%3D9%2B14%20%7D)
![\bf{23=23}](https://tex.z-dn.net/?f=%5Cbf%7B23%3D23%7D)
Checked ✅
Answer:
![\sf\longmapsto \: x = 20](https://tex.z-dn.net/?f=%5Csf%5Clongmapsto%20%5C%3A%20x%20%3D%2020)
Step-by-step explanation:
![\sf\longmapsto \: 2x = 40](https://tex.z-dn.net/?f=%5Csf%5Clongmapsto%20%5C%3A%202x%20%3D%2040)
![\sf\longmapsto \: x = \frac{40}{2}](https://tex.z-dn.net/?f=%5Csf%5Clongmapsto%20%5C%3A%20x%20%3D%20%20%5Cfrac%7B40%7D%7B2%7D%20)
![\sf\longmapsto \: x = 20](https://tex.z-dn.net/?f=%5Csf%5Clongmapsto%20%5C%3A%20x%20%3D%2020)
Answer:
0.8 percent
Step-by-step explanation:
In order to find the answer of .8 which is equivalent to 80%, you would have to do 48 divided by 60.
Answer:
223
Step-by-step explanation:
2=(117+334)-5
2=451-5
2=446
÷2 ÷2
=223