Example

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

Question

$$\sqrt[ 3 ]{ 3 } \times \sqrt[ 3 ]{ 9 }$$

Answer

3

Solution


Rewrite \(9\) as \({3}^{2}\).
\[\sqrt[3]{3}\sqrt[3]{{3}^{2}}\]
Use this rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[\sqrt[3]{3}\times {3}^{\frac{2}{3}}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[3\]
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