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evaluate cube root of ( -1728)*(-2197)

$Given \sqrt[3]{- 1728 \times - 2197} 1728 can be written as 12 \times 12 \times 12 2197 can be written as 13 \times 13 \times 13 So, \sqrt[3]{- 1728 \times - 2197} = \sqrt[3]{- (12 \times 12 \times 12)} \times \sqrt[3]{- (13 \times 13 \times 13)} = \sqrt[3]{(- 12)^{3}} \times \sqrt[3]{(- 13)^{3}} = (- 12^{3})^{\frac{1}{3}} \times (- 13^{3})^{\frac{1}{3}} = - 12 \times - 13 = 156 ∴ \sqrt[3]{- 1728 \times - 2197} = 156$

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