Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$\sqrt{\sqrt[3]{729}}$$

Answer

$$3^(1/1458)$$

Solution


Use this rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[{3}^{\frac{1\times 1}{729\times 2}}\]
Simplify  \(1\times 1\)  to  \(1\).
\[\sqrt[729\times 2]{3}\]
Simplify  \(729\times 2\)  to  \(1458\).
\[\sqrt[1458]{3}\]

Decimal Form: 1.000754

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