Simplify: (x³y⁴ ÷ 11)(5x⁶y³ ÷ 7)

Yes, simplifying the expression (x³y⁴ ÷ 11)(5x⁶y³ ÷ 7) involves applying the rules of exponents and fractions.

Steps to simplify:

1. Rewrite the expression:
   (x³y⁴ ÷ 11)(5x⁶y³ ÷ 7) = (x³y⁴ ÷ 11) × (5x⁶y³ ÷ 7)
2. Multiply the numerators and the denominators separately:
   • Numerators:x³ × 5x⁶ × y⁴ × y³ = 5x3+6y4+3 = 5x9y7
   • Denominators:11 × 7 = 77
3. Final expression:5x9y7 ÷ 77

Final Answer:

Simplified Answer:
5x9y7 ÷ 77

When simplifying expressions like this:

• Multiplying powers of the same base means you add the exponents.
• Multiplying fractions involves multiplying the numerators and denominators separately.
• Final result is the simplified form of the expression.