Question

((2x⁴y⁶)/(10x²)² Write your answer using only pos

Answer 1

To simplify the expression ((2x⁴y⁶)/(10x²)², divide the numerator and denominator separately, apply the exponent rules, and cancel out common factors.

Step-by-step explanation:

To simplify the expression ((2x⁴y⁶)/(10x²)², we can follow these steps:

1. First, simplify the numerator, which is (2x⁴y⁶).
2. Next, simplify the denominator, which is (10x²)². This can be simplified as (10x²) × (10x²).
3. Now, apply the exponent rule for division, which states that when dividing two terms with the same base, you subtract the exponents. Therefore, (2x⁴y⁶) / (10x²)² becomes (2x⁴y⁶) / (10²x⁴).
4. Finally, simplify the expression by canceling out common factors. In this case, we can cancel out the x⁴ from the numerator and denominator, resulting in the final simplified expression of 2y⁶ / 100.

The simplified expression is 2y⁶ / 100.