-divided-by-(2-x-10%5E2)-in-standard-form.jpeg "(7 X 10^5) Divided By (2 X 10^2) In Standard Form")
Simplifying Exponents: (7 x 10^5) divided by (2 x 10^2) in Standard Form
In this article, we will explore how to simplify the expression (7 x 10^5) divided by (2 x 10^2) in standard form.
Understanding the Expression
The given expression is:
(7 x 10^5) ÷ (2 x 10^2)
To simplify this expression, we need to follow the rules of exponents and perform the necessary operations.
Simplifying the Expression
First, let's simplify the numerator (7 x 10^5):
7 x 10^5 = 7 x 100,000 = 700,000
Next, let's simplify the denominator (2 x 10^2):
2 x 10^2 = 2 x 100 = 200
Now, we can rewrite the original expression as:
700,000 ÷ 200
Performing the division, we get:
700,000 ÷ 200 = 3,500
Writing in Standard Form
To write the result in standard form, we need to express it as a product of a number between 1 and 10 and a power of 10.
3,500 = 3.5 x 10^3
Therefore, the final answer in standard form is:
(3.5 x 10^3)
In conclusion, we have successfully simplified the expression (7 x 10^5) divided by (2 x 10^2) in standard form, arriving at the result (3.5 x 10^3).
