Is anyone here familiar with Algebra 1B problems?
1 answer:
Answer:
Part 5) 
Part 6) 
Par 7) 
Part 8) 
Step-by-step explanation:
Part 5) we have
![\sqrt[3]{27}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B27%7D)
we know that

substitute
![\sqrt[3]{27}=\sqrt[3]{3^{3}}=3^{\frac{3}{3}}=3](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B27%7D%3D%5Csqrt%5B3%5D%7B3%5E%7B3%7D%7D%3D3%5E%7B%5Cfrac%7B3%7D%7B3%7D%7D%3D3)
Part 6) we have
![\sqrt[4]{16}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B16%7D)
we know that

substitute
![\sqrt[4]{16}=\sqrt[4]{2^{4}}=2^{\frac{4}{4}}=2](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B16%7D%3D%5Csqrt%5B4%5D%7B2%5E%7B4%7D%7D%3D2%5E%7B%5Cfrac%7B4%7D%7B4%7D%7D%3D2)
Part 7) we know that
The volume of the cube is equal to

where
S is the length side of the cube
In this problem we have

substitute

![S=\sqrt[3]{125}=\sqrt[3]{5^{3}}=5^{\frac{3}{3}}=5\ ft](https://tex.z-dn.net/?f=S%3D%5Csqrt%5B3%5D%7B125%7D%3D%5Csqrt%5B3%5D%7B5%5E%7B3%7D%7D%3D5%5E%7B%5Cfrac%7B3%7D%7B3%7D%7D%3D5%5C%20ft)
Part 8) we know that
The volume of the cube is equal to

where
S is the length side of the cube
In this problem we have

substitute

![S=\sqrt[3]{343}=\sqrt[3]{7^{3}}=7^{\frac{3}{3}}=7\ m](https://tex.z-dn.net/?f=S%3D%5Csqrt%5B3%5D%7B343%7D%3D%5Csqrt%5B3%5D%7B7%5E%7B3%7D%7D%3D7%5E%7B%5Cfrac%7B3%7D%7B3%7D%7D%3D7%5C%20m)
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Step-by-step explanation: