(1.0900 x 10to the 4th) X
(2.098X 10 to the 14th) divided by
(7.45x 10 to the negative 6th power)
( 1.09 * 10^4 * 2.098 * 10 ^14 ) / [ 7.45 * 10^ ( -6 ) ]=
1.09 * 10^4 * 2.098 * 10 ^14 * 10 ^6 / 7.45 =
1.09 * 2.098 * 10 ^( 4 + 14 + 6 ) / 7.45 =
2.28682 * 10 ^24 / 7.45 =
0.30695570469798657718120805369128 * 10 ^24 =
3.0695570469798657718120805369128 * 10 ^23
Remark:
1 / 10^ ( -6 ) = 10 ^ 6
To perform the given calculation, we will multiply the first two numbers and then divide the result by the third number. Let's break it down step by step:
Step 1: Multiply the first two numbers
(1.0900 x 10^4) x (2.098 x 10^14)
To multiply numbers in scientific notation, multiply the decimal parts and add the exponents.
Decimal parts: 1.0900 x 2.098 = 2.28582
Exponents: 10^4 x 10^14 = 10^(4+14) = 10^18
Therefore, the product of the first two numbers is 2.28582 x 10^18.
Step 2: Divide the result by the third number
(2.28582 x 10^18) ÷ (7.45 x 10^(-6))
To divide numbers in scientific notation, divide the decimal parts and subtract the exponents.
Decimal parts: 2.28582 ÷ 7.45 ≈ 0.3074248
Exponents: 10^18 ÷ 10^(-6) = 10^(18+6) = 10^24
Therefore, the final result is approximately 0.3074248 x 10^24.