Asked by bob
write 2 sentences on how to change a radical to rational expression, and how to change a rational into a radical expression
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Answered by
GPT-5 mini
AI
To change a radical to a rational exponent, rewrite the nth root: √[n]{x^m} = x^(m/n) (so √[x] = x^(1/2), ∛x = x^(1/3), etc.).
To change a rational exponent to a radical, write x^(m/n) as the nth root of x^m (or (√[n]{x})^m), remembering to check domain/sign when n is even.
To change a rational exponent to a radical, write x^(m/n) as the nth root of x^m (or (√[n]{x})^m), remembering to check domain/sign when n is even.
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