Problem 72

Question

Evaluate the expression. $$ 10^{-4} $$

Step-by-Step Solution

Verified
Answer
The expression \(10^{-4}\) evaluates to \(0.0001\).
1Step 1: Understand the problem
We have the expression \(10^{-4}\). This expression can be rewritten using the mathematical rule that states that \(a^{-b} = 1/a^b\).
2Step 2: Apply the negative exponent rule
By applying the rule stated in step 1, \(10^{-4}\) can be rewritten as \(1/10^4\).
3Step 3: Evaluate the expression
If we calculate the denominator, \(10^4 = 10000\). Therefore, the whole expression \(1/10^4\) becomes \(1/10000\).