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WINSTONCH [101]
3 years ago
15

Simplify the equation:

rt[3]{3}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Bond [772]3 years ago
4 0

To simplify \frac{3}{\sqrt[3]{3} }, we have to follow the rules.

Here are the steps to the question:

Step 1: Follow the radical rule.

\sqrt[n]{a} = a \frac{1}{n}

So, we get \frac{3}{3\frac{1}{3} }.

Next, follow the exponent rule.

\frac{x^{a} }{x^{b} } = x^{a-b}

We get 3^{1} - \frac{1}{3}.

The answer is \frac{3}{\sqrt[3]{3} }.

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Absolute value is a function that takes some number and outputs the size of that number, regardless of the sign. By definition, |x|=x if x\ge0, and |x|=-x if x.

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What this means for this problem is that there are two cases to consider:

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  • On the other hand, if x+\frac13, then \left|x+\frac13\right|=-\left(x+\frac13\right), so

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