Math Problem Statement

643\sqrt[3]{64}

Solution

The value of 643\sqrt[3]{64} is 4.

This is because 43=4×4×4=644^3 = 4 \times 4 \times 4 = 64.

Would you like further explanation or additional details?

Related Questions:

  1. What is 273\sqrt[3]{27}?
  2. How do you calculate cube roots of negative numbers?
  3. What is the difference between square roots and cube roots?
  4. How does the cube root function behave for fractional exponents?
  5. Can you explain the method to estimate cube roots without a calculator?

Tip: Cube roots of perfect cubes can often be recognized quickly as they have integer results.

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Math Problem Analysis

Mathematical Concepts

Cube Roots
Exponents
Perfect Cubes

Formulas

\( \sqrt[3]{x} = y \text{ such that } y^3 = x \)

Theorems

Basic Properties of Exponents

Suitable Grade Level

Grades 6-8