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.
Answer:
380 miles
Step-by-step explanation:
2÷0.5=4
95×4=380
380 miles
29 = 1 * 29
1 + 29 = 30
thus answer is 29