Final answer:
Due to unclear typos, a precise answer cannot be provided. However, the strategy for simplifying radical expressions with variables and exponents generally involves factoring the radicand into primes, applying the square root to perfect squares, and combining like terms.
Step-by-step explanation:
The core of this Mathematics High School problem involves simplifying a complex radical expression. Due to the numerous typos in the student's question, a clear interpretation of the original equation is not possible. However, we can discuss a strategy to simplify a similar example involving radicals and exponents.
To simplify a radical expression like 9√56x7y12, we need to:
- Break down the radicand (the number inside the square root) into its prime factors.
- Apply the rule √x2 = x to simplify square roots and remove perfect squares from under the radical sign.
- Combine like terms and reduce fractions when dealing with coefficients.
Here is a general example using a similar expression:
- Suppose we need to simplify √72x6y8.
- 72 can be factored into 23 × 32, and since we're dealing with a square root, we look for pairs of prime factors.
- We take each factor out from under the square root sign to the power of one less than the pair (since √x2 = x).
- The expression simplifies to 6x3y4.