which expression is equivalent to w^3/2 in r form

The expression \( w^{3/2} \) can be rewritten in radical (root) form as:

\[
w^{3/2} = \sqrt{w^3} = (\sqrt{w})^3
\]

Thus, \( w^{3/2} \) is equivalent to the square root of \( w^3 \) or the cube of the square root of \( w \).

Would you like more details or have any questions about this?

Here are some related questions:

1. How can other fractional exponents be converted to radical form?
2. What is the general rule for converting \( a^{m/n} \) to radical form?
3. How would you simplify an expression like \( w^{5/2} \)?
4. Can fractional exponents be used to simplify complex roots?
5. How does rational exponent notation relate to the properties of exponents?

**Tip:** To convert \( a^{m/n} \) to radical form, use \( \sqrt[n]{a^m} \), where \( n \) is the root and \( m \) is the power.

Learn how to rewrite the expression w^(3/2) in radical form. This problem explores fractional exponents, properties of exponents, and converting to radical expressions. Ideal for students in Grades 9-11 who are studying algebra and exponent rules.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation