What is 1/(sqrt(2)\sqrt[3]{2)} ?

The solution to 1/(sqrt(2)\sqrt[3]{2)} is 1/(\sqrt[6]{2^5)}

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simplify 1/(sqrt(2)\sqrt[3]{2)}

simplify

Decimal Notation

0.56123 \dots

Solution steps

Apply radical rule:

a = a^{\frac{1}{2}}

2 = 2^{\frac{1}{2}}

Apply radical rule:

= \frac{1}{2 ^{\frac{1}{2}} \cdot 2 ^{\frac{1}{3}}}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

2^{\frac{1}{2}} \cdot 2^{\frac{1}{3}} = 2^{\frac{1}{2} + \frac{1}{3}}

= \frac{1}{2 ^{\frac{1}{2} + \frac{1}{3}}}

\frac{1}{2} + \frac{1}{3} = \frac{5}{6}

= \frac{1}{2 ^{\frac{5}{6}}}

\frac{- 6}{- 5}

\frac{7}{6} \div 3

\frac{( \frac{x}{2} - 1 )}{( x - 2 )}

- 9 + - 4 - 4 + i

(4 s - 1) (2 s + 5)

What is 1/(sqrt(2)\sqrt[3]{2)} ?
The solution to 1/(sqrt(2)\sqrt[3]{2)} is 1/(\sqrt[6]{2^5)}