Simplifying Exponents: (7 x 10^5) divided by (2x10^2) in Standard Form
In this article, we will explore how to simplify the expression (7 x 10^5) divided by (2x10^2)
and write it in standard form.
Understanding the Expression
The given expression is (7 x 10^5) divided by (2x10^2)
. To simplify this expression, we need to follow the rules of exponentiation.
Step 1: Divide the Coefficients
First, we will divide the coefficients of the two expressions:
7 ÷ 2 = 3.5
Step 2: Divide the Exponents
Next, we will divide the exponents:
10^5 ÷ 10^2 = 10^(5-2) = 10^3
Step 3: Write the Expression in Standard Form
Now, we can write the simplified expression in standard form:
(3.5 x 10^3)
Simplified Expression
The simplified expression is (3.5 x 10^3)
. This is the standard form of the original expression (7 x 10^5) divided by (2x10^2)
.
Conclusion
In this article, we have simplified the expression (7 x 10^5) divided by (2x10^2)
and written it in standard form as (3.5 x 10^3)
. This process involved dividing the coefficients and exponents of the two expressions and simplifying the resulting expression.