Solve the equation $x^3=27$.

• A. $x=9$
• B. $x=-3$
• C. $x=\sqrt{27}$
• D. $x=3$

Answer: (D)

Verified step by step guidance

1. Identify the given equation: \(x^{3} = 27\).
2. Recall that to solve for \(x\) when it is raised to a power, you need to take the root corresponding to that power. Since \(x\) is cubed, take the cube root of both sides: \(x = \sqrt[3]{27}\).
3. Evaluate the cube root of 27 by finding the number which, when multiplied by itself three times, equals 27.
4. Recognize that \(3 \times 3 \times 3 = 27\), so \(\sqrt[3]{27} = 3\).
5. Conclude that the solution to the equation is \(x = 3\).