Answer:
5.25
Step-by-step explanation:
Answer:
1
8
4
−
3
3
−
2
3
+
2
−
1
0
+
6
18
x
4
−
3
x
3
−
2
x
3
+
x
2
−
10
+
6
18x4−3x3−2x3+x2−10+6
1
8
4
−
3
3
−
2
3
+
2
−
4
18
x
4
−
3
x
3
−
2
x
3
+
x
2
−
4
18x4−3x3−2x3+x2−4
2
Combine like terms
Solution
1
8
4
−
5
3
+
2
−
4
Step-by-step explanation:
Invert and multiply
2/x*(3/(4x))
Then proceed to simplify
(You must simplify twice might I add)
Answer:
See explanation
Step-by-step explanation:
Consider the expression
![5^{31}-5^{29}](https://tex.z-dn.net/?f=5%5E%7B31%7D-5%5E%7B29%7D)
First, factor it:
![5^{31}-5^{29}=5^{29}\cdot(5^2-1)=5^{29}\cdot (25-1)=24\cdot 5^{29}](https://tex.z-dn.net/?f=5%5E%7B31%7D-5%5E%7B29%7D%3D5%5E%7B29%7D%5Ccdot%285%5E2-1%29%3D5%5E%7B29%7D%5Ccdot%20%2825-1%29%3D24%5Ccdot%205%5E%7B29%7D)
Note that
![100=25\cdot 4](https://tex.z-dn.net/?f=100%3D25%5Ccdot%204)
Then
![5^{31}-5^{29}=24\cdot 5^{29}=6\cdot 4\cdot 25\cdot 5^{27}=6\cdot 100\cdot 5^{27}](https://tex.z-dn.net/?f=5%5E%7B31%7D-5%5E%7B29%7D%3D24%5Ccdot%205%5E%7B29%7D%3D6%5Ccdot%204%5Ccdot%2025%5Ccdot%205%5E%7B27%7D%3D6%5Ccdot%20100%5Ccdot%205%5E%7B27%7D)
This shows that number 100 is a factor of the expression
and, therefore, this expression is divisible by 100.