a _ { L } = \sqrt[ 3 ] { \frac { 10 ^ { 3 } } { 9,5 ^ { 3 } } } =
Solve for a_L
a_{L}=\frac{2\sqrt[3]{3}}{3}\approx 0.961499714
Assign a_L
a_{L}≔\frac{2\times 9^{\frac{2}{3}}}{9}
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a_{L}=\sqrt[3]{\frac{1000}{9\times 5^{3}}}
Calculate 10 to the power of 3 and get 1000.
a_{L}=\sqrt[3]{\frac{1000}{9\times 125}}
Calculate 5 to the power of 3 and get 125.
a_{L}=\sqrt[3]{\frac{1000}{1125}}
Multiply 9 and 125 to get 1125.
a_{L}=\sqrt[3]{\frac{8}{9}}
Reduce the fraction \frac{1000}{1125} to lowest terms by extracting and canceling out 125.
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