Answer: ≈3(Although this is an estimate, there is a 50,000 character limit on these answers, so it isn't possible to put the whole number.
Step-by-step explanation:
Step 1: Determine the prime factorization of 27.
27 = 3 x 3 x 3
Step 2: Rewrite the expression using the prime factorization.
27^(1/3) = (3 x 3 x 3)^(1/3)
Step 3: Apply the exponent rule for a product raised to a power.
(3 x 3 x 3)^(1/3) = 3^(1/3) x 3^(1/3) x 3^(1/3)
Step 4: Simplify each factor.
3^(1/3) represents the cube root of 3. Since the exponent is 1/3, we are looking for the number that, when raised to the power of 3, gives us 3. The cube root of 3 is approximately 1.4422.
Step 5: Multiply the simplified factors.
3^(1/3) x 3^(1/3) x 3^(1/3) = 1.4422 x 1.4422 x 1.4422 ≈ 3