Solve Equations with Rational Exponents
Solve and check the equation.
-$$5 x ^ { 5 / 2 } - 20 = 0$$
A) $\{ \sqrt [ 5 ] { 16 } \}$
B) $\{ \sqrt [ 5 ] { 4 } \}$
C) $\left\{ \frac { 8 } { 5 } \right\}$
D) $\varnothing$

Question

Quizplus · Accepted Answer

First, add 20 to both sides to get $5x^{5/2} = 20$. Then, divide both sides by 5 to isolate the variable term, resulting in $x^{5/2} = 4$. To solve for $x$, take both sides to the power of $2/5$, yielding $x = \sqrt[5]{16}$.

Solve Equations with Rational Exponents Solve and Check the Equation 5x5/2−20=05 x ^ { 5 / 2 } - 20 = 05x5/2−20=0

Solve Equations with Rational Exponents
Solve and Check the Equation $5 x ^ { 5 / 2 } - 20 = 0$