using scientific notation
4x10^9/2x10^-7
4x10^9/2x10^-7
divide top and bottom by 2 to give
2x10^9/1x10^-7
then subtract the powers of ten as it is a division
9--7=16
so the answer is
2 x 10^16
To divide numbers expressed in scientific notation, we can follow these steps:
Step 1: Divide the coefficients (the numbers in front of the powers of 10).
Step 2: Subtract the exponent of the denominator from the exponent of the numerator.
Step 3: Write the final result in scientific notation if needed.
Let's apply these steps to the given expression: (4 x 10^9) / (2 x 10^-7)
Step 1: Divide the coefficients: 4 / 2 = 2
Step 2: Subtract the exponents: (10^9) / (10^-7) = 10^(9 - (-7)) = 10^16
Step 3: Combine the result in scientific notation: 2 x 10^16
Therefore, the result of the expression (4 x 10^9) / (2 x 10^-7) is 2 x 10^16.