less than a minute read Jun 17, 2024

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

  1. Cube Root: The cube root of -64 is -4, as -4 x -4 x -4 = -64.
  2. 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.

Related Post

Featured Posts