Math Problem Statement
Eric wanted to find out how many skin cells were lost in his hometown with a population of about 10^4 adults. He determined the expression (10^6)(10^4) would represent the approximate number of skin cells lost each day by all of the adults in his town. Which value represents the simplified expression?
Solution
The expression given is , and we are asked to simplify it.
When multiplying powers of 10, we apply the property of exponents:
So:
The correct simplified expression is , which corresponds to option D.
Would you like more details or have any other questions?
Here are some related questions to think about:
- How do you simplify expressions with exponents involving multiplication?
- What happens when you divide numbers with exponents of 10?
- How would the result change if the powers of 10 were negative?
- Can you apply the same rules of exponents to different bases, such as 2 or 5?
- How would you solve an expression with mixed multiplication and division of powers?
Tip: When multiplying powers of the same base, always add their exponents!
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Math Problem Analysis
Mathematical Concepts
Exponentiation
Properties of Exponents
Multiplication of Powers of 10
Formulas
10^a * 10^b = 10^(a+b)
Theorems
Laws of Exponents
Suitable Grade Level
Grades 6-8