https://file.aiquickdraw.com/mathbot/file/1726190838911yutpitbw.jpg

The expression provided in the image is \( a^{\frac{2}{3}} \), and the instruction asks to write it using radical notation. 

The correct way to express \( a^{\frac{2}{3}} \) using radicals is:

\[
a^{\frac{2}{3}} = \sqrt[3]{a^2}
\]

This is because the exponent \( \frac{2}{3} \) can be interpreted as the cube root (denominator 3) of \( a^2 \) (numerator 2). The answer shown in the box, \( a^2 \), is incorrect because it does not account for the radical form.

Do you have any questions or would you like more details?

Here are some related questions to expand on this:

1. What is the general form for converting exponents with fractional powers into radicals?
2. How can you express \( a^{\frac{5}{2}} \) in radical form?
3. What is the meaning of a negative exponent when written in radical form?
4. How does the base change affect the conversion from exponential to radical form?
5. How can we simplify \( \left( a^{\frac{2}{3}} \right)^3 \)?

**Tip:** The denominator of a fractional exponent determines the root, while the numerator determines the power applied inside the radical.

Write the exponential expression using radical notation: a^(2/3)

Learn how to convert the exponential expression a^(2/3) into its radical form. This problem explores fractional exponents and radicals, showing how the cube root of a^2 is derived. Suitable for students in Grades 9-11.

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