What is the product of 8.5 × 10^3 and 2.6 × 16^3 expressed in scientific notation?
To find the product of (8.5 × 10^3) and (2.6 × 16^3) expressed in scientific notation, follow these steps:
Step 1: Multiply the two numbers: 8.5 × 2.6 = 22.1
Step 2: Multiply the exponents: 10^3 × 16^3 = 10^(3+3) = 10^6
Step 3: Combine the results. The product is 22.1 × 10^6.
Therefore, the product of 8.5 × 10^3 and 2.6 × 16^3 expressed in scientific notation is 22.1 × 10^6.
To find the product of 8.5 × 10^3 and 2.6 × 16^3 expressed in scientific notation, we need to multiply the coefficients and add the exponents separately.
First, let's multiply the coefficients: 8.5 × 2.6 = 22.1.
Next, let's add the exponents: 10^3 × 16^3 = 10^(3+3) = 10^6.
Therefore, the product is 22.1 × 10^6.
Now, let's express this in scientific notation, which requires writing the coefficient between 1 and 10 and the exponent as a power of 10.
To express 22.1 in scientific notation, we can move the decimal point one place to the left, making it 2.21. As a result, we need to increase the exponent by one to maintain the same value, which gives us 10^7.
Therefore, the final answer, in scientific notation, is 2.21 × 10^7.