Final answer:
To express (7x10⁸) / (2x10⁵) in scientific notation, simply divide 7 by 2 to get 3.5 and subtract 5 from 8 to get 3, resulting in 3.5 x 10³.
Step-by-step explanation:
To calculate (7x10⁸) / (2x10⁵) and express it in scientific notation, we follow a two-step process: divide the numbers out front and subtract the exponents of 10.
- First, divide the coefficients (the numbers out front): 7 divided by 2 equals 3.5.
- Then, subtract the exponents: 10⁸ divided by 10⁵ is 10³ because 8 minus 5 equals 3.
Together, the result in scientific notation is 3.5 x 10³. This is because scientific notation simplifies the numbers out front and uses powers of ten to represent the scale of the number.