Final answer:
The simplified expression for any non-zero number raised to the power of 0 is 1. Scientific notation requires one non-zero digit to the left of the decimal, and standard notation requires placing the decimal point as per the exponent's value. Dividing in scientific notation involves dividing the coefficients and subtracting the exponents.
Step-by-step explanation:
The original question appears to have some confusion with regard to the expression (-8.5)0, but let's clarify some related mathematical concepts. Any number raised to the power of zero is equal to 1. This is because the pattern of exponentiation dictates that as you decrease the exponent by one, you divide the number by itself, and any number divided by itself (except for zero) is equal to 1. Therefore, the simplified expression for (-8.5)0 is actually 1, regardless of what the number is as long as it's not zero.
Now, let's look at examples related to scientific notation and standard notation. Proper scientific notation requires that the number have one non-zero digit to the left of the decimal point. So to correct the examples:
- 345.1 × 10² in proper scientific notation would be 3.451 × 10´.
- 0.234 × 10-3 would stay the same because it is already in the correct form.
- 1,800 × 10-2 would become 1.8 × 10².
To express a number in standard notation, you simply move the decimal point to the right for positive exponents and to the left for negative exponents:
- 7.11 × 10-2 in standard notation is 0.0711.
- 9.18 × 10² is 918.
- 3.09 × 10³ is 3,090.
Finally, when dividing numbers in scientific notation, you divide the coefficients (the numbers in front) and subtract the exponents.