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#1 2024-09-21 03:11:35
- Oculus8596
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Simplify Each Expression
Simplify each expression. Assume that all variables are positive when they appear.
1. (16x^4)^(1/3) - (2x)^(1/3)
2. 8xy - (25x^2y^2)^(1/2) + (8x^3y^3)^(1/3)
Last edited by Oculus8596 (2024-09-21 18:10:15)
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#2 2024-09-21 09:24:00
- Bob
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Re: Simplify Each Expression
16 is a power of 2 so it's worth re-writing this with powers of 2
You can extract 2x out of that first expression leaving (2x)^1/3 which becomes a common factor in both terms.
I started the second and got to wondering if that last term should be (8x^3y^3)^(1/3).
It simplfies nicely if that power is 1/3 rather than 1/2.
Bob
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#3 2024-09-21 18:10:02
- Oculus8596
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Re: Simplify Each Expression
16 is a power of 2 so it's worth re-writing this with powers of 2
You can extract 2x out of that first expression leaving (2x)^1/3 which becomes a common factor in both terms.
I started the second and got to wondering if that last term should be (8x^3y^3)^(1/3).
It simplfies nicely if that power is 1/3 rather than 1/2.
Bob
You are right about the second problem. It is a typo at my end.
The correct problem is 8xy - (25x^2•y^2)^(1/2) + (8x^3•y^3)^(1/3).
I can now proceed on my own.
I will also edit the original post.
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