2 answers:
Answer:
x = 2/5
Step-by-step explanation:
x^3 = .008/.125
Take the cubed root on each side
x^3 ^ (1/3) = (.008/.125) ^ 1/3
Using ( a/b) ^c = a^c / b^c and a^b^c = a^ (b*c)
x^(3 *(1/3)) = (.008) ^ 1/3 / (.125) ^ 1/3
x = (.008) ^ 1/3 / (.125) ^ 1/3
x = .2/.5
x = 2/5
Answer:
x = 2/5
Step-by-step explanation:
![x^3=\dfrac{0.008}{0.125}=\dfrac{8}{125}=\dfrac{2^3}{5^3}\\\\x=\sqrt[3]{\dfrac{2^3}{5^3}}=\dfrac{\sqrt[3]{2^3}}{\sqrt[3]{5^3}}=\dfrac{2}{5}](https://tex.z-dn.net/?f=x%5E3%3D%5Cdfrac%7B0.008%7D%7B0.125%7D%3D%5Cdfrac%7B8%7D%7B125%7D%3D%5Cdfrac%7B2%5E3%7D%7B5%5E3%7D%5C%5C%5C%5Cx%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B2%5E3%7D%7B5%5E3%7D%7D%3D%5Cdfrac%7B%5Csqrt%5B3%5D%7B2%5E3%7D%7D%7B%5Csqrt%5B3%5D%7B5%5E3%7D%7D%3D%5Cdfrac%7B2%7D%7B5%7D)
The value of x is 2/5.
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