## Understanding (64)<sup>3/2</sup>

The expression (64)<sup>3/2</sup> represents a fractional exponent. Fractional exponents are a way to represent roots and powers simultaneously. Here's how to break down the calculation:

### Fractional Exponents Explained

**The denominator (2) indicates the root:**In this case, the denominator is 2, meaning we need to find the square root of 64.**The numerator (3) indicates the power:**The numerator is 3, meaning we need to cube the result from the previous step.

### Solving the Expression

**Find the square root of 64:**The square root of 64 is 8 (because 8 x 8 = 64).**Cube the result:**8 cubed (8 x 8 x 8) is 512.

### Conclusion

Therefore, (64)<sup>3/2</sup> is equal to **512**.