Evaluate. (root(3)(-5))/(40^((1)/(3)))=

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Evaluate.  (root(3)(-5))/(40^((1)/(3)))=

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Understand the expression: Understand the expression. We need to evaluate the expression (root(3)(-5))/(40^((1)/(3))). This means we need to find the cube root of -5 and divide it by the cube root of 40.Evaluate the cube root of -5: Evaluate the cube root of -5. The cube root of -5 is the number that, when multiplied by itself three times, gives -5. The cube root of -5 is -∛5 (since -∛5 × -∛5 × -∛5 = -5).Evaluate the cube root of 40: Evaluate the cube root of 40. The cube root of 40 is the number that, when multiplied by itself three times, gives 40. The cube root of 40 is ∛40.Divide the cube root of -5 by the cube root of 40: Divide the cube root of -5 by the cube root of 40. Now we divide -∛5 by ∛40. The expression becomes (-∛5)/(∛40).Simplify the expression: Simplify the expression. Since both the numerator and the denominator are under a cube root, we can combine them under a single cube root. The expression becomes ∛((-5)/40).Simplify the fraction inside the cube root: Simplify the fraction inside the cube root. The fraction (-5)/40 can be simplified to -1/8. So the expression now is ∛(-1/8).Evaluate the cube root of -1/8: Evaluate the cube root of -1/8. The cube root of -1/8 is the number that, when multiplied by itself three times, gives -1/8. The cube root of -1/8 is -1/2 (since (-1/2) × (-1/2) × (-1/2) = -1/8).

Evaluate. $\newline$ $\frac{\sqrt[3]{-5}}{40^{\frac{1}{3}}}=$

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Evaluate.\newline−534013= \frac{\sqrt[3]{-5}}{40^{\frac{1}{3}}}= 4031​3−5​​=

Evaluate. $\newline$ $\frac{\sqrt[3]{-5}}{40^{\frac{1}{3}}}=$