%5E2-in-scientific-notation.jpeg "(3x10^5)^2 In Scientific Notation")
Simplifying (3 x 10^5)^2 in Scientific Notation
Let's break down how to express (3 x 10^5)^2 in scientific notation.
Understanding Scientific Notation
Scientific notation is a way to express very large or very small numbers concisely. It follows the format:
a x 10^b
Where:
- a is a number between 1 and 10 (excluding 10).
- b is an integer representing the power of 10.
Simplifying the Expression
-
Square the coefficient: (3)^2 = 9
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Multiply the exponents: (10^5)^2 = 10^(5*2) = 10^10
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Combine the results: 9 x 10^10
Final Answer
Therefore, (3 x 10^5)^2 expressed in scientific notation is 9 x 10^10.