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In algebra, the method of expressing powers and roots together is known as a fractional exponent.
Let's see the solution step by step.
Explanation:
Given: 81 to the power of 3/4 or 81(3/4).
First, rewrite 81 as 34.
81(3/4) = 34(3/4)
Apply one of the rules of exponents, (am)n = amn.
So we cancel the common factor of 4 to get,
33 = 3 × 3 × 3 = 27