Rewrite 1/100,000 as a power of 10.
Understand the Problem
The question is asking us to express the fraction 1/100,000 as a power of 10. This requires understanding how to convert fractions into exponential notation.
Answer
The expression for $\frac{1}{100,000}$ as a power of 10 is $10^{-5}$.
Answer for screen readers
The expression for $\frac{1}{100,000}$ as a power of 10 is $10^{-5}$.
Steps to Solve
-
Understand the Fraction To express the fraction $\frac{1}{100,000}$ as a power of 10, we first recognize that $100,000 = 10^5$.
-
Rewrite the Fraction We can express $\frac{1}{100,000}$ using the exponential form. Since $100,000$ is $10^5$, we can rewrite the fraction as: $$ \frac{1}{100,000} = \frac{1}{10^5} $$
-
Apply the Rule of Exponents Using the property of exponents that states $\frac{1}{a^n} = a^{-n}$, we can rewrite: $$ \frac{1}{10^5} = 10^{-5} $$
-
Final Result Thus, we can express $\frac{1}{100,000}$ as: $$ 10^{-5} $$
The expression for $\frac{1}{100,000}$ as a power of 10 is $10^{-5}$.
More Information
Understanding negative exponents is crucial for converting fractions into exponential forms. A negative exponent indicates that the base (in this case, 10) is in the denominator.
Tips
null
AI-generated content may contain errors. Please verify critical information
