%2F(4x10%5E2)-in-standard-index-form.jpeg "(2x10^5)/(4x10^2) In Standard Index Form")
Evaluating the Expression: (2x10^5)/(4x10^2) in Standard Index Form
In this article, we will evaluate the expression (2x10^5)/(4x10^2) and express it in standard index form.
Step 1: Simplify the Numerator and Denominator
First, let's simplify the numerator and denominator separately:
Numerator: 2x10^5 = 2 × 10^5 = 200,000
Denominator: 4x10^2 = 4 × 10^2 = 400
Step 2: Divide the Numerator by the Denominator
Now, let's divide the numerator by the denominator:
(2x10^5)/(4x10^2) = 200,000 ÷ 400 = 500
Step 3: Express the Result in Standard Index Form
To express the result in standard index form, we need to rewrite 500 as a power of 10:
500 = 5 × 10^2
Therefore, the expression (2x10^5)/(4x10^2) in standard index form is:
5 × 10^2
This is the final answer. We have successfully evaluated the expression and expressed it in standard index form.
