Question

\\x^2 \mid x^{\frac{1}{2}}\\

Explanation:

⚡ Using what you learned: properties of exponents

Step 1: Rewrite the expression

The given image shows a division of two exponential terms. Note that the image is rotated counterclockwise. When rotated 90 degrees clockwise, the expression is:

$$ \frac{x^2}{x^{1/2}} $$

Step 2: Apply the quotient rule

Subtract the exponent in the denominator from the exponent in the numerator:

$$ x^{2 - \frac{1}{2}} $$

Step 3: Simplify the exponent

Find a common denominator to subtract the fractions:

$$ 2 - \frac{1}{2} = \frac{4}{2} - \frac{1}{2} = \frac{3}{2} $$

Thus, the simplified expression is:

$$ x^{3/2} $$

Answer:

$$ x^{3/2} \quad \text{or} \quad \sqrt{x^3} $$