Find the cube root of 0.000729. | vedclass

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(B) To find the cube root of $0.000729$,we can express the number in scientific notation:$0.000729 = 729 	imes 10^{-6}$Now,take the cube root of this

Vedclass · Accepted Answer

$0.09$

Vedclass · Answer

(B) To find the cube root of $0.000729$,we can express the number in scientific notation:$0.000729 = 729 	imes 10^{-6}$Now,take the cube root of this expression:$\sqrt[3]{0.000729} = \sqrt[3]{729 	imes 10^{-6}}$We know that $729 = 9^3$,so $\sqrt[3]{729} = 9$.Also,$\sqrt[3]{10^{-6}} = (10^{-6})^{1/3} = 10^{-2}$.Therefore,$\sqrt[3]{0.000729} = 9 	imes 10^{-2} = 0.09$.

Find the cube root of $0.000729$.

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