(83.2 x 10^-7) / 6.4 x 10^-5
To solve this problem, we can simplify the expression by dividing the given numbers and subtracting the exponents:
(83.2 × 10^-7) / (6.4 × 10^-5) = 83.2 / 6.4 × 10^-7 / 10^-5
= 13 × 10^(-7 - (-5))
= 13 × 10^(-7 + 5)
= 13 × 10^-2
The final answer is 13 × 10^-2.
To perform this calculation, you need to divide the numbers and subtract the exponents.
Step 1: Divide the numbers: 83.2 ÷ 6.4 = 13
Step 2: Subtract the exponents: (10^-7) ÷ (10^-5) = 10^(-7-(-5)) = 10^-7+5 = 10^-2
So, the final result is 13 x 10^-2.
To divide two numbers written in scientific notation, you can follow these steps:
Step 1: Divide the two numbers without considering the exponents. In this case, divide 83.2 by 6.4:
83.2 / 6.4 = 13
Step 2: Multiply the exponents by -1 and subtract them. In this case, we have -7 (-1 * -7) and -5 (-1 * -5).
-7 - (-5) = -7 + 5 = -2
Step 3: Place the resulting number from Step 1 in scientific notation and combine it with the result from Step 2. The result will be:
13 x 10^-2
So, (83.2 x 10^-7) / (6.4 x 10^-5) is equal to 13 x 10^-2 or simply 1.3 x 10^-1.