Question

how is the expression 10^{-5} written without the negative exponent? select all correct options 1/3,125 1/10^{5} 1/50 1/100000

Explanation:

Step1: Recall negative - exponent rule

For any non - zero number \(a\) and integer \(n\), \(a^{-n}=\frac{1}{a^{n}}\). Here \(a = 10\) and \(n = 5\), so \(10^{-5}=\frac{1}{10^{5}}\).

Step2: Calculate \(10^{5}\)

\(10^{5}=10\times10\times10\times10\times10 = 100000\), so \(\frac{1}{10^{5}}=\frac{1}{100000}\).

Answer:

B. \(1/10^{5}\), D. \(1/100000\)