Question

question
solve for m. express your answer in simplest radical form if necessary.
$m^3 = -1000$
answer attempt 1 out of 3
additional solution no solution
$m = $
submit answer

Explanation:

Step1: Take cube root of both sides

To solve for \( m \) in the equation \( m^3 = -1000 \), we take the cube root of both sides. The cube root of a number \( x \) is a number \( y \) such that \( y^3 = x \). So we have \( m=\sqrt[3]{-1000} \).

Step2: Simplify the cube root

We know that \( (- 10)\times(-10)\times(-10)=(-10)^3=- 1000 \), so \( \sqrt[3]{-1000}=-10 \).

Answer:

\( m = - 10 \)