https://r2.erweima.ai/mathbot/image/172515099925563hp8ctu.jpg

Como reescribo eso para que quede dos tercios ax raiz cuadrada de x

To rewrite the expression \(\frac{2}{3}a x^{\frac{3}{2}}\) as "two-thirds \(ax\) square root of \(x\)", you can follow these steps:

1. **Express the Exponent:** The term \(x^{\frac{3}{2}}\) can be rewritten as \(x^{1 + \frac{1}{2}} = x \cdot x^{\frac{1}{2}}\).
   
2. **Use the Square Root:** The term \(x^{\frac{1}{2}}\) is equivalent to \(\sqrt{x}\).

Therefore, the expression can be rewritten as:

\[
\frac{2}{3} \cdot a \cdot x \cdot \sqrt{x}
\]

or more neatly as:

\[
\frac{2}{3}ax\sqrt{x}
\]

This is how you would express "two-thirds \(ax\) square root of \(x\)".

Would you like more details or have any other questions?

Here are some related questions you might find useful:
1. How do you simplify expressions involving fractional exponents?
2. What are some common properties of exponents?
3. How do you convert between radical expressions and exponent notation?
4. What are some techniques for factoring expressions involving square roots?
5. How do you solve equations involving radicals?

**Tip:** Remember that any term raised to the power of \(\frac{1}{2}\) is equivalent to the square root of that term.

Learn how to rewrite the expression 'two-thirds ax square root of x'. Step-by-step guide includes simplifying fractional exponents, using square roots, and expressing the result neatly. Suitable for high school students studying exponents and square roots.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation