Example

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

Question

$$\sqrt[ 3 ]{ 2 } \times \sqrt[ 4 ]{ 2 } \times \sqrt[ 12 ]{ 32 }$$

Answer

2

Solution


Rewrite \(32\) as \({2}^{5}\).
\[\sqrt[3]{2}\sqrt[4]{2}\sqrt[12]{{2}^{5}}\]
Use this rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[\sqrt[3]{2}\sqrt[4]{2}\times {2}^{\frac{5}{12}}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[2\]
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