(1.5x10%5E-5)-in-scientific-notation.jpeg "(3x10^2)(1.5x10^-5) In Scientific Notation")
Simplifying (3x10^2)(1.5x10^-5) in Scientific Notation
In this article, we'll learn how to simplify the expression (3x10^2)(1.5x10^-5) in scientific notation.
Understanding Scientific Notation
Scientific notation is a way of expressing very large or very small numbers concisely. It follows the format: a x 10^b, where:
- a is a number between 1 and 10 (including 1)
- b is an integer representing the power of 10.
Simplifying the Expression
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Multiply the coefficients: 3 x 1.5 = 4.5
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Multiply the powers of 10: 10^2 x 10^-5 = 10^(2-5) = 10^-3
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Combine the results: 4.5 x 10^-3
Therefore, (3x10^2)(1.5x10^-5) simplified in scientific notation is 4.5 x 10^-3.