Math Problem Statement

Write the expression in exponential form. cube root of, x, squared, end cube root 3

x 2

Solution

To express the given statement in exponential form, let's break it down:

  • The "cube root of x2x^2" can be written as x23\sqrt[3]{x^2}.
  • Any root can be expressed as a fractional exponent. Specifically, a cube root corresponds to an exponent of 13\frac{1}{3}.

So, x23\sqrt[3]{x^2} becomes x23x^{\frac{2}{3}}.

Thus, the expression in exponential form is:

x23x^{\frac{2}{3}}

Would you like more details or have any questions?

Here are 5 related questions:

  1. How do you express the fourth root of x5x^5 in exponential form?
  2. How do you multiply two numbers with fractional exponents?
  3. How do you convert a general radical expression into an exponential form?
  4. What is the cube root of 8x68x^6 in exponential form?
  5. How would you solve an equation involving cube roots and exponents?

Tip: When converting roots to exponents, remember that the root becomes the denominator in the exponent!

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Math Problem Analysis

Mathematical Concepts

Exponents
Radicals
Fractional Exponents

Formulas

nth root of a^m = a^(m/n)

Theorems

Properties of exponents

Suitable Grade Level

Grades 8-10