Express the following in power notation.
`(1)/(2401)`

Answer

To express \( \frac{1}{2401} \) in power notation, we can follow these steps:

### Step 1: Factor 2401
First, we need to factor the number 2401. We can find that:
\[ 2401 = 7 \times 7 \times 7 \times 7 = 7^4 \]

### Step 2: Rewrite the Fraction
Now, we can rewrite the original fraction \( \frac{1}{2401} \) using the factor we found:
\[ \frac{1}{2401} = \frac{1}{7^4} \]

### Step 3: Use the Negative Exponent Rule
According to the rules of exponents, we can express \( \frac{1}{a^n} \) as \( a^{-n} \). Therefore, we can rewrite \( \frac{1}{7^4} \) as:
\[ \frac{1}{7^4} = 7^{-4} \]

### Final Answer
Thus, the expression \( \frac{1}{2401} \) in power notation is:
\[ 7^{-4} \]

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