Step-by-step explanation:
The given expression is :
![(\sqrt[3]{128} )^x](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7B128%7D%20%29%5Ex)
We need to solve the above expression.
According to one of the law of indices,
![(\sqrt[a]{m} )^b=(\sqrt{m})^{b/a}](https://tex.z-dn.net/?f=%28%5Csqrt%5Ba%5D%7Bm%7D%20%29%5Eb%3D%28%5Csqrt%7Bm%7D%29%5E%7Bb%2Fa%7D)
Using above property,
![(\sqrt[3]{128} )^x=(128)^{x/3}\\\\=(64\times 2)^{x/3}\\\\=4(2)^{x/3}\ (\because\ \sqrt{64}=4) \\\\=4(\sqrt[3]{2})^x\\\\=4(2^{1/3})^x](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7B128%7D%20%29%5Ex%3D%28128%29%5E%7Bx%2F3%7D%5C%5C%5C%5C%3D%2864%5Ctimes%202%29%5E%7Bx%2F3%7D%5C%5C%5C%5C%3D4%282%29%5E%7Bx%2F3%7D%5C%20%28%5Cbecause%5C%20%5Csqrt%7B64%7D%3D4%29%20%5C%5C%5C%5C%3D4%28%5Csqrt%5B3%5D%7B2%7D%29%5Ex%5C%5C%5C%5C%3D4%282%5E%7B1%2F3%7D%29%5Ex)
Hence, this is the required solution.
Let the Distance between A and B be : C km
Given : The Man Travels from A to B at a Speed 4 km/h
⇒ The Man Travels 4 km in One Hour during his Journey from A to B
⇒ 
⇒ 
Given : The Man Travels from B to A at a Speed 6 km/h
⇒ The Man Travels 6 km in One Hour during his Journey from B to A
⇒ 
⇒ 
⇒ 
We know that One Hour contains 60 Minutes
⇒ The Total Time taken by Man = 
Given Total Time Taken by Man is 45 Minutes
⇒ 25C = 45
⇒ 
But the Total Distance Traveled by the Man is 2C
⇒ 2C = 2 × 1.8 = 3.6 km
⇒ The Total Distance Traveled by the Man is 3.6 km
To solve this you do 25-7=18 and do 18÷6=3, so my number is 3. To check if this is correct you do 3×6=18 and 18+7=25
Answer:
1932 credit hours
Step-by-step explanation:
Create a proportion
credits credits
---------- = ----------
students students
14 ?
---- = -----
1 138
14 times 138
1932 credit hours
Answer:
248
Step-by-step explanation:
A + B = 180 -EQ 1
A + C =180 -EQ 2
B =124
BY EQ1 :
A = 180 - 124 =56
C = 180 -56 =124
B + C = 124+124
=248