Evaluating the Expression (4x10^5)x(2x10^9) in Standard Index Form
In this article, we will evaluate the expression (4x10^5)x(2x10^9)
and express it in standard index form.
Step 1: Multiply the Coefficients
First, we need to multiply the coefficients of the two terms:
4 × 2 = 8
Step 2: Multiply the Indices
Next, we need to multiply the indices of the two terms:
10^5 × 10^9 = 10^(5+9) = 10^14
Step 3: Combine the Results
Now, we can combine the results of steps 1 and 2 to get:
(4x10^5)x(2x10^9) = 8x10^14
Standard Index Form
The standard index form of a number is a way of expressing it as a product of a number between 1 and 10, and a power of 10. In this case, our result is already in standard index form:
(4x10^5)x(2x10^9) = 8x10^14
Therefore, the final answer is 8x10^14
.