Question

Solve y^3= −125.

y = −5

y = ±5

y = −25

y = ±25

Answer 1

`\huge\text{Hey there!}`

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

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

`\mathsf{(-125)^{^(1)/(3)}}\mathsf{ = y}`

`\mathsf{y = (-125)^{^(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`

~
`\frak{Amphitrite1040:)}`

Answer 2

A. y=-5

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)}(-1-√(3)i)/(2),\:\sqrt[3]{f\left(a\right)}(-1+√(3)i)/(2)}}`

`\rightarrow \sf{y=\sqrt[3]{-125},\:y=\sqrt[3]{-125}(-1+√(3)i)/(2),\:y=\sqrt[3]{-125}(-1-√(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.