Convert to Radical Form 3x^(3/8)

Problem

3*x^(3/8)

Solution

1. Identify the base and the fractional exponent. The base is x and the exponent is 3/8 The coefficient 3 is not part of the base being raised to the power.

2. Apply the rule for converting rational exponents to radicals, which states a^(m/n)=√(n,a^m)

3. Substitute the values into the radical form. The denominator 8 becomes the index of the radical, and the numerator 3 becomes the power of the base.

Final Answer

3*x^(3/8)=3√(8,x^3)

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