Final answer:
Simplifying expressions and evaluating scientific notation involves understanding the rules of exponents and algebraic manipulation. It is also crucial to express results with the correct number of significant figures.
Step-by-step explanation:
To simplify the expression 162 ^1/3a. 6b. 9c. 12d. 18, we need to follow the rules of exponents and algebraic manipulation. However, since the expression as provided is unclear and may contain typos, we will instead look at similar expressions that require simplification and the use of scientific notation.
Example Calculations
- To evaluate an expression in scientific notation, such as (9.09 × 10^8) ÷ [(6.33 × 10^9) × (4.066 × 10^-7)], you would multiply and divide the numbers as you normally would and then apply the same operations to the powers of ten.
- For expressions like 333,999,500,000 ÷ 0.00000000003396, convert both numbers into scientific notation before performing the division to simplify and to express the result in scientific notation as well.
When simplifying algebraic equations, you often need to eliminate terms and check if the result is reasonable. In scientific calculations, it's also important to ensure the correct number of significant figures is used in the final answer.