Final answer:
Thirty-four thousand is written in scientific notation as 3.4 x 10 to the fourth power, which is 3.4 x 10^4.
Step-by-step explanation:
Scientific notation is a way to express large or small numbers using powers of 10. To write thirty-four thousand, or 34,000, in scientific notation, we need to move the decimal point three places to the left to make it 3.4 and then multiply it by 10 to the power of 4. So the answer is option a) 3.4 x 10 to the fourth power. Thirty-four thousand in scientific notation is 3.4 x 10 to the fourth power. To write a number in scientific notation, you need to express it as a product of a number between 1 and 10 and a power of ten. The number 34,000 can be rewritten as 3.4 when multiplied by 10,000 (or 10 to the fourth power), which is option a). In scientific notation, this is represented as 3.4 x 104.