(7 X 10^5)divide(2x10^2) In Standard Form

2 min read Jul 03, 2024
(7 X 10^5)divide(2x10^2) In Standard Form

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.

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