1. x = 20 , x² = 400 and x³ = 8000
2. x = 7 , x² = 49 and x³ = 343
Step-by-step explanation:
Given values are;
2000, 7, 400, 20, 4000, 200
We have to find x, x² and x³.
Part 1:
![x^3=8000](https://tex.z-dn.net/?f=x%5E3%3D8000)
We will take cube root to find x.
![\sqrt[3]{x^3} =\sqrt[3]{8000}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E3%7D%20%3D%5Csqrt%5B3%5D%7B8000%7D)
![x=20](https://tex.z-dn.net/?f=x%3D20)
Now, we will take square;
![(x)^2=(20)^2\\x^2=400](https://tex.z-dn.net/?f=%28x%29%5E2%3D%2820%29%5E2%5C%5Cx%5E2%3D400)
Therefore;
x = 20 , x² = 400 and x³ = 8000
Part 2:
x² = 49 , x³ = 343
Taking square root on x²
![\sqrt{x^2}=\sqrt{49}\\x=7](https://tex.z-dn.net/?f=%5Csqrt%7Bx%5E2%7D%3D%5Csqrt%7B49%7D%5C%5Cx%3D7)
Therefore;
x = 7 , x² = 49 and x³ = 343
Keywords: cube root, square root
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