Question

evaluate.
$10^{-6}$

Explanation:

Step1: Recall negative exponent rule

The rule for negative exponents is \( a^{-n} = \frac{1}{a^n} \) where \( a
eq 0 \) and \( n \) is a positive integer. For \( 10^{-6} \), we apply this rule.

Step2: Apply the rule to \( 10^{-6} \)

Using the rule \( a^{-n} = \frac{1}{a^n} \) with \( a = 10 \) and \( n = 6 \), we get \( 10^{-6}=\frac{1}{10^6} \).

Step3: Calculate \( 10^6 \)

We know that \( 10^6 = 10\times10\times10\times10\times10\times10=1000000 \).

Step4: Find the value of \( \frac{1}{10^6} \)

Since \( 10^6 = 1000000 \), then \( \frac{1}{10^6}=\frac{1}{1000000}=0.000001 \).

Answer:

\( 0.000001 \) (or \( \frac{1}{1000000} \))