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-5x^((1)/(3))-10=-20

$-5 x^{\frac{1}{3}}-10=-20$

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Evaluate rational exponents

Full solution

Q.

-5 x^{\frac{1}{3}}-10=-20

Add $10$ to isolate x: Add $10$ to both sides to isolate the term with $x$ . $-5x^{(1/3)} - 10 + 10 = -20 + 10$ $-5x^{(1/3)} = -10$
Divide to solve for $x^{\frac{1}{3}}$ : Divide both sides by $-5$ to solve for $x^{\frac{1}{3}}$ . $\newline$ $-5x^{\frac{1}{3}} / -5 = -10 / -5$ $\newline$ $x^{\frac{1}{3}} = 2$
Cube to solve for x: Cube both sides to solve for x. $\newline$ $(x^{\frac{1}{3}})^3 = 2^3$ $\newline$ $x = 8$

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