(8.03 X 10^-8) X (2.56 X 10^-2)
To multiply these two numbers, you add the exponents and multiply the coefficients:
(8.03 X 10^-8) X (2.56 X 10^-2)
= (8.03 X 2.56) X (10^-8 X 10^-2)
= 20.5768 X 10^(-8-2)
= 20.5768 X 10^-10
= 2.05768 X 10^-9
To multiply two numbers in scientific notation, you need to multiply the decimal parts and add the exponents.
(8.03 × 10^-8) × (2.56 × 10^-2)
Multiply the decimal parts: 8.03 × 2.56 = 20.5568
Add the exponents: -8 + (-2) = -10
Therefore, the answer is 20.5568 × 10^-10 in scientific notation.
To multiply two numbers expressed in scientific notation, you need to multiply the two numerical parts and then multiply the powers of 10.
Let's calculate (8.03 X 10^-8) X (2.56 X 10^-2) step by step:
1. Multiply the numerical parts:
8.03 X 2.56 = 20.5568
2. Multiply the powers of 10:
10^-8 X 10^-2 = 10^(-8-2) = 10^-10
3. Combine the numerical part and the power of 10:
20.5568 X 10^-10
So, the result is 20.5568 X 10^-10, or more commonly expressed as 2.05568 X 10^-9.