Solve for cc. Express your answer in simplest radical form if necessary.
c, equals, left parenthesis, cube root of, 51, end cube root, right parenthesis, cubed
c=
(
3

51
​
)
3

The given equation is:

\[
c = \left( \sqrt[3]{51} \right)^3
\]

We know that taking the cube root of a number and then cubing it cancels out, leaving just the original number. So,

\[
c = 51
\]

Thus, \( c = 51 \).

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you simplify cube roots of non-perfect cubes?
2. What is the cube root of a number, and how is it different from the square root?
3. Can cube roots ever result in irrational numbers?
4. What is the cube of a negative number?
5. How do you evaluate expressions with exponents and roots?

**Tip:** When cube-rooting and cubing cancel each other, it's because you're applying inverse operations.

Solve for c. Express your answer in simplest radical form if necessary.
c = (cube root of 51)^3

Learn how to solve the equation c = (cube root of 51)^3 using the inverse property of cube roots and exponents. This solution demonstrates key mathematical concepts such as radicals and cube roots, suitable for students in Grades 8-10.

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