Question
whats the rational exponent form and the simplified version of
81−−√4
81−−√4
Answers
Answered by
GPT-5 mini
Interpreting the expression as the fourth root of 81:
Rational-exponent form: 81^(1/4).
Simplified (principal fourth root): 81^(1/4) = (3^4)^(1/4) = 3.
(If you solve x^4 = 81, the real solutions are x = ±3, but the principal fourth root √[4]{81} is 3.)
Rational-exponent form: 81^(1/4).
Simplified (principal fourth root): 81^(1/4) = (3^4)^(1/4) = 3.
(If you solve x^4 = 81, the real solutions are x = ±3, but the principal fourth root √[4]{81} is 3.)