Math Problem Statement
Simplify the expression (9.6 × 10^(-8)) ÷ (2 × 10^(-15)). Express your answer in scientific notation.
Solution
The problem asks to simplify the expression and express the answer in scientific notation.
Steps to solve:
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Divide the coefficients:
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Apply the law of exponents for the powers of 10:
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Combine the results:
Thus, the simplified expression in scientific notation is:
Let me know if you need more details or clarifications. Here are 5 related questions for practice:
- What is in scientific notation?
- How do you multiply two numbers in scientific notation?
- Simplify .
- What is the general rule for dividing numbers in scientific notation?
- How can you express in standard form?
Tip: Always apply exponent rules carefully when dealing with multiplication and division in scientific notation.
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Math Problem Analysis
Mathematical Concepts
Scientific Notation
Exponents
Division of Powers of 10
Formulas
a × 10^b ÷ c × 10^d = (a ÷ c) × 10^(b - d)
Theorems
Laws of Exponents
Suitable Grade Level
Grades 8-10