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anonymous
 one year ago
Can someone please help me step by step with this problem?
x^(2/3) (2x)^2  6x^1/3 (2x)
anonymous
 one year ago
Can someone please help me step by step with this problem? x^(2/3) (2x)^2  6x^1/3 (2x)

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Without knowing exactly what you're trying to do, we can't help much. I'd guess you're wanting to simplify the given expression. \[x^{2/3}(2x)^26x^{1/3}(2x)\] For starters, there's a common factor of \(2x\), so let's pull that out: \[(2x)\left[x^{2/3}(2x)6x^{1/3}\right]\] Next, notice that \(\dfrac{2}{3}=\dfrac{3}{3}+\dfrac{1}{3}\). Since \(x^{a+b}=x^ax^b\), this means that \(x^{2/3}=x^{3/3}x^{1/3}=x^{1}x^{1/3}\), and so the two bracketed terms share another common factor of \(x^{1/3}\). Pulling that out gives \[x^{1/3}(2x)\left[x^{1}(2x)6\right]\] What else can you do?
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