Write the expression in radical form.x, start superscript, start fraction, 5, divided by, 3, end fraction, end superscriptx 35
Question
Write the expression in radical form.
Evaluate:
x^{\frac{5}{3}} \cdot 35
Solution
The expression "x^(5/3)" in radical form is written as "∛(x^5)".
Here's the step-by-step conversion:
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The denominator of the fraction in the exponent (3) becomes the index of the radical, which is the small number to the left of the radical sign. In this case, it's a cube root, so we write the cube root symbol (∛).
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The numerator of the fraction in the exponent (5) stays as the exponent of the base (x), so we have "x^5".
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Put it all together, and "x^(5/3)" in radical form is "∛(x^5)".
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