Math Problem Statement
6.14 x 10^4 ÷ (5.60 x 10^-2 x 2.408 x 10^9) can be written in the form b × 10^n. Write b correct to 2 decimal places and n as an integer.
Solution
The expression shown in your image, , can be rewritten in scientific notation in the form . Let's compute this:
First, we multiply the coefficients:
Then, we add the exponents of 10:
Let's calculate the resulting values for and .
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Math Problem Analysis
Mathematical Concepts
Scientific Notation
Exponents
Multiplication and Division of Powers of Ten
Formulas
Multiplication of powers of 10: (a x 10^m) x (b x 10^n) = (a x b) x 10^(m+n)
Division of powers of 10: (a x 10^m) ÷ (b x 10^n) = (a ÷ b) x 10^(m-n)
Theorems
-
Suitable Grade Level
Grades 9-12