Question

find the missing exponent.
$10^{\square} = 10,000$

Explanation:

Step1: Recall the meaning of exponents for base 10

We know that \(10^n\) means 10 multiplied by itself \(n\) times. For example, \(10^1 = 10\), \(10^2=10\times10 = 100\), \(10^3 = 10\times10\times10=1000\), and so on.

Step2: Analyze \(10,000\) as a power of 10

We can write \(10,000\) as \(10\times10\times10\times10\). Since there are 4 factors of 10, by the definition of exponents, \(10\times10\times10\times10=10^4\). So the missing exponent is 4.

Answer:

4