Math Problem Statement
10^-5
Solution
The expression means "10 raised to the power of -5." A negative exponent represents the reciprocal of the base raised to the corresponding positive exponent.
So, can be rewritten as:
Thus, .
Would you like further explanation or any details on this? Here are 5 related questions to explore this topic further:
- What is the value of ?
- How do you multiply numbers with exponents, like ?
- How does the exponent rule apply to fractions like ?
- What happens when a number with a negative exponent is squared, such as ?
- Can you explain the difference between positive and negative exponents?
Tip: Negative exponents flip the base to the reciprocal and apply the positive exponent.
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Math Problem Analysis
Mathematical Concepts
Exponents
Powers of 10
Negative Exponents
Formulas
a^(-n) = 1/a^n
10^(-5) = 1/10^5 = 0.00001
Theorems
Negative exponent rule: a^(-n) = 1/a^n
Suitable Grade Level
Grades 5-7