Question

Solve y^3= −125. y = −5 y = ±5 y = −25 y = ±25

Answer 1

Answer:

A. y=-5

Step-by-step explanation:

Use the order of operations.

PEMDAS stands for:

• Parentheses
• Exponents
• Multiply
• Divide
• Add
• Subtract

Do exponents first.

$\sf{y^3=-125}$

$\sf{x=\sqrt[3]{f\left(a\right)},\:\sqrt[3]{f\left(a\right)}\dfrac{-1-\sqrt{3}i}{2},\:\sqrt[3]{f\left(a\right)}\dfrac{-1+\sqrt{3}i}{2}}}$

$\rightarrow \sf{y=\sqrt[3]{-125},\:y=\sqrt[3]{-125}\dfrac{-1+\sqrt{3}i}{2},\:y=\sqrt[3]{-125}\dfrac{-1-\sqrt{3}i}{2}}$

$\sf{\sqrt[3]{-125}=\boxed{\sf{-5}}}$

Therefore, the correct answer is y=-5.

I hope this helps, let me know if you have any questions.

Answer 2

$\huge\text{Hey there!}$

$\mathsf{y^3 = -125}$

$\large\text{Solve/take the cube root}$

$\mathsf{(-125)^{^\dfrac{1}{3}}}\mathsf{ = y}$

$\mathsf{y = (-125)^{^\dfrac{1}{3}}}$

$\large\text{Simplify it}$

$\mathsf{y = -5}$

$\huge\text{Therefore, your answer is: \boxed{\mathsf{y = -5\ (\rm \bold{O}ption\ A.)}}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~$\frak{Amphitrite1040:)}$