Question

evaluate.
$10^{-6}$

Explanation:

Step1: Recall negative exponent rule

The negative exponent rule states that \( a^{-n} = \frac{1}{a^{n}} \) for any non - zero number \( a \) and positive integer \( n \). For \( 10^{-6} \), here \( a = 10 \) and \( n=6 \).

Step2: Apply the rule

Applying the rule \( a^{-n}=\frac{1}{a^{n}} \) to \( 10^{-6} \), we get \( 10^{-6}=\frac{1}{10^{6}} \).
We know that \( 10^{6}=10\times10\times10\times10\times10\times10 = 1000000 \). So \( \frac{1}{10^{6}}=\frac{1}{1000000}=0.000001 \).

Answer:

\( 10^{-6}=0.000001 \) (or \( \frac{1}{1000000} \))