## Understanding (-64)^2/3

The expression **(-64)^2/3** might seem intimidating, but it's a straightforward calculation once we break it down. Let's explore the concept:

### Fractional Exponents

A fractional exponent represents both a **root** and a **power**. In our case, the exponent **2/3** signifies taking the **cube root** and then **squaring** the result.

### Applying the Principles

**Cube Root:**The cube root of -64 is**-4**, as -4 x -4 x -4 = -64.**Squaring:**We square the result of the cube root, (-4)^2 =**16**.

Therefore, **(-64)^2/3 = 16**.

### Key Takeaways

- Fractional exponents combine roots and powers.
- The denominator of the fraction indicates the root to be taken.
- The numerator indicates the power to be applied.

By understanding these principles, you can tackle more complex expressions with fractional exponents confidently.