Questions: Simplify. ∛1000

Solution Steps

To simplify the cube root of 1000, we need to find a number that, when multiplied by itself three times, equals 1000. This involves identifying the prime factors of 1000 and determining the cube root.

To simplify $\sqrt[3]{1000}$, we start by recognizing that $1000$ can be expressed as $10^3$. Therefore, we can rewrite the expression as: $$\sqrt[3]{1000} = \sqrt[3]{10^3}$$

Using the property of exponents that states $\sqrt[n]{a^n} = a$, we can simplify the expression: $$\sqrt[3]{10^3} = 10$$

Final Answer