Question

question
solve for ( m ). express your answer in simplest radical form if necessary.
( m^3 = 1000 )

Explanation:

Step1: Recall the cube root definition

To solve \( m^3 = 1000 \), we need to find the cube root of both sides. The cube root of a number \( x \) is a value \( y \) such that \( y^3=x \). So we take the cube root of both sides: \( \sqrt[3]{m^3}=\sqrt[3]{1000} \).

Step2: Simplify both sides

Simplifying the left side, \( \sqrt[3]{m^3}=m \) because the cube root and the cube operation are inverses. For the right side, we know that \( 10\times10\times10 = 10^3=1000 \), so \( \sqrt[3]{1000} = 10 \).

Answer:

\( m = 10 \)