Questions: Write the expression in radical form. x^(3/4)

Transcript text: Write the expression in radical form. \[ x^{\frac{3}{4}} \]

Solution

Solution Steps

Step 1: Understand the exponent

The expression \( x^{\frac{3}{4}} \) has an exponent in fractional form. A fractional exponent \( \frac{a}{b} \) can be rewritten in radical form as \( \sqrt[b]{x^a} \).

Step 2: Apply the radical form

Using the rule for fractional exponents, rewrite \( x^{\frac{3}{4}} \) as \( \sqrt[4]{x^3} \).

Step 3: Finalize the expression

The expression \( \sqrt[4]{x^3} \) is the radical form of \( x^{\frac{3}{4}} \).

Final Answer

\(\boxed{\sqrt[4]{x^3}}\)

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