rewrite\n\\frac{1}{100,000,000}\nas a power of 10.
rewrite\n\\frac{1}{100,000,000}\nas a power of 10.
Answer
Explanation:
Step1: Analyze the denominator
The denominator (100,000,000) can be written as (10\times10\times10\times10\times10\times10\times10\times10).
Step2: Use the exponent rule
According to the rule (a\times a\times\cdots\times a) ((n) times) (=a^{n}), for (a = 10) and (n=8), (100,000,000=10^{8}). Then (\frac{1}{100,000,000}=\frac{1}{10^{8}}).
Step3: Apply the negative - exponent rule
Using the rule (\frac{1}{a^{n}}=a^{-n}) ((a\neq0)), when (a = 10) and (n = 8), (\frac{1}{10^{8}}=10^{-8}).
Answer:
(10^{-8})