Question

Simplify this number: rac{3}{\sqrt[3]{3} }" alt="\frac{3}{\sqrt[3]{3} }" align="absmiddle" class="latex-formula">
Put all the rules like exponent, radical and other nessecary steps.

Answer 1

Answer: 3 $\frac{2}{3}$

Follow the radical rule:

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

We get the number $\frac{3}{3\frac{1}{3} }$

Follow the exponent rule:

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

We get the number $3^{1} - \frac{1}{3}$.

Now, subtract.

$3 - \frac{1}{3}$ $= \frac{2}{3}$

The answer is 3 2/3

Answer 2

Answer:

$\boxed{ \frac{3}{\sqrt[3]{3}} = \boxed{ \sqrt[3]{9}}=2.080083823 }$

Step-by-step explanation:

$if \: this \: is \: your \: question \to \: \frac{3}{\sqrt[3]{3} } \\then : it \: is \: the \: same \: as \to \: 3 \div \sqrt[3]{3} \\but \: 3 = {(3)}^{1} \\ and \to \\ \sqrt[3]{3} = {(3)}^{ \frac{1}{3} } : hence \to \\ {(3)}^{1} \div {(3)}^{ \frac{1}{3} } = {(3)}^{1 - \frac{1}{3} } \to \\ 3 {}^{ \frac{2}{3} } = \sqrt[3]{3} {}^{2} = \sqrt[3]{9} .$

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