What is \sqrt[3]{sqrt(729x^{18)}} ?

The solution to \sqrt[3]{sqrt(729x^{18)}} is 3x^3

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simplify \sqrt[3]{sqrt(729x^{18)}}

simplify

3 729 x^{18}

3 x^{3}

Solution steps

3 729 x^{18}

Simplify

729 x^{18} : 27 x^{9}

= 3 27 x^{9}

Apply radical rule:

n ab = n a n b,

assuming

a \geq 0, b \geq 0

3 27 x^{9} = 327 3 x^{9}

= 327 3 x^{9}

327 = 3

= 3 3 x^{9}

Simplify

3 x^{9} : x^{3}

= 3 x^{3}

3 x^{2} y + 2 x^{2} - 12 y - 8

\frac{1}{x + 4} - \frac{1}{4}

\frac{1}{7} - \frac{2}{5}

(3 x + 4)^{6}

3 11 a^{7} b

What is \sqrt[3]{sqrt(729x^{18)}} ?
The solution to \sqrt[3]{sqrt(729x^{18)}} is 3x^3