How is 100,000 expressed using powers of 10?

To express 100,000 using powers of 10, we need to look at how many times 10 must be multiplied by itself to equal that number. In this case, 100,000 can be broken down as follows:

100,000 can be written as (10 \times 10 \times 10 \times 10 \times 10). This simplifies to (10^5), meaning that 10 is multiplied by itself 5 times.

This notation is a standard way of expressing large numbers in a more manageable form, which is particularly useful in engineering and science. Powers of 10 allow for concise expression and easier calculations, especially when dealing with very large or very small numbers.

The other options indicate a different exponent associated with the base of 10, but they would not yield the correct value of 100,000 when evaluated. For instance, (10^4) equals 10,000, while (10^6) equals 1,000,000, neither of which represents 100,000 accurately. Therefore, the appropriate way to express 100,000 in powers of 10 is indeed (10^5).