Final answer:
The expression 21 ∛15 ÷ 9 ∛15 simplifies to approximately 2.33, which is none of the given options (1) 3, (2) -3, (3) 6, or (4) -6. Remember that if the terms are the same, they can be simplified just like fractions.
Step-by-step explanation:
The expression 21 ∛15 ÷ 9 ∛15 is mathematically equivalent to simplifying fractions. The ∛15 part is common to both the numerator and the denominator, hence we can simplify it just like in a fraction. Remember the division rules that explain when a number is divided by another number, it's like multiplying numbers. In this case, we can apply these rules by dividing the coefficient of the ∛15 in the numerator by the coefficient of the ∛15 in the denominator. So, we just need to divide 21 by 9. The answer to this is approximately 2.33. Thus, none of the options (1) 3, (2) -3, (3) 6, or (4) -6 is equivalent to 21 ∛15 ÷ 9 ∛15. In order to simplify such expressions, remember to follow mathematical rules regarding equivalent expressions, number division and simplifying fractions.
Learn more about Simplifying Mathematical Expressions