Example

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

Question

$$\sqrt{ \sqrt{ 81 _{ 2 } } }$$

Answer

$$81_2^(1/4)$$

Solution


Use this rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[{81_2}^{\frac{1\times 1}{2\times 2}}\]
Simplify  \(1\times 1\)  to  \(1\).
\[\sqrt[2\times 2]{81_2}\]
Simplify  \(2\times 2\)  to  \(4\).
\[\sqrt[4]{81_2}\]

Decimal Form: 5.338128

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