Question

how many factors of 10 are in each power? number of factors of 10 in $10^6$: 6 number of factors of 10 in $10^4$: 4 how many factors of 10 are in the quotient? number of factors of 10 in $\frac{10^6}{10^4}$: $\frac{10^6}{10^4}=\frac{10cdot10cdot10cdot10cdot10cdot10}{10cdot10cdot10cdot10}$

Explanation:

Step1: Cancel common 10 factors

$\frac{10 \cdot 10 \cdot 10 \cdot 10 \cdot 10 \cdot 10}{10 \cdot 10 \cdot 10 \cdot 10} = 10 \cdot 10$

Step2: Count remaining 10 factors

Count the number of 10s in the simplified expression.

Answer:

2