Final answer:
The question seems to be fragmented, lacking a coherent expression and context. However, the discussion provided covers the quadratic formula, scientific notation, and significant figures to aid in understanding mathematics problem-solving techniques typically encountered in high school level mathematics.
Step-by-step explanation:
Given the original question did not provide a clearly defined expression to simplify, I'll address the provided irrelevant expressions separately to ensure understanding.
- For an expression in the form of a quadratic equation, we substitute the values for a, b, and c into the quadratic formula, which is generally stated as (-b ± √(b² - 4ac))/(2a). An example given is substituting a = 1, b = 0.0211, and c = -0.0211, which results in the expression becoming: -0.0211 ± √((0.0211)² - 4(1)(-0.0211))/(2*1).
- To express a number in scientific notation, the number must be formatted such that a single non-zero digit is to the left of the decimal point. For instance, to rewrite 345.1 × 10² in proper scientific notation, it would be 3.451 × 10⁴, where 10⁴ indicates that the decimal point has been moved four places to the right.
- Significant figures play a role in determining the precision of a result, especially when performing operations such as multiplication or division. For example, when multiplying 0.00666 by 321, we would express the product using the appropriate number of significant figures, which in scientific notation might be something like 2.14 × 10⁻³ if only three significant figures are considered.