Solve the equation.
-$$a ^ { 3 / 4 } = 125$$
A) $\{ 625 \}$
B) $\{ - 5,5 \}$
C) $\{ - 625,625 \}$
D) $\{ 5 \}$

Name: Solve the equation. -\[a ^ { 3 / 4 } = 125\] A) $\{ 625 \}$ B) $\{ - 5,5 \}$ C) $\{ - 625,625 \}$ D) $\{ 5 \}$
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Question

Quizplus · Accepted Answer

To solve $a^{3/4} = 125$, we first recognize that 125 is $5^3$. Thus, $a^{3/4} = 5^3$. To isolate $a$, we raise both sides to the $4/3$ power, yielding $a = (5^3)^{4/3}$. Simplifying, we get $a = 5^4 = 625$.

Solve the Equation a3/4=125a ^ { 3 / 4 } = 125a3/4=125

Solve the Equation $a ^ { 3 / 4 } = 125$