(64)3/2 Is Equal To

Jasonbradley

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Jun 16, 2024

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Understanding (64)^3/2

The expression (64)^3/2 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

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

Conclusion

Therefore, (64)^3/2 is equal to 512.