Question

simplify: $10^{-3}$
0.03
1,000
0.001

• 1000

Explanation:

Step1: Recall negative exponent rule

The rule for negative exponents is \(a^{-n}=\frac{1}{a^{n}}\) (where \(a
eq0\) and \(n\) is a positive integer). For \(10^{-3}\), we apply this rule: \(10^{-3}=\frac{1}{10^{3}}\).

Step2: Calculate \(10^{3}\)

We know that \(10^{3}=10\times10\times10 = 1000\).

Step3: Find the value of \(\frac{1}{10^{3}}\)

Substituting \(10^{3}=1000\) into \(\frac{1}{10^{3}}\), we get \(\frac{1}{1000}=0.001\).

Answer:

The correct option is the one with 0.001 (the third option: 0.001)