Question

10² and 10³ have the same base. you can write the product of powers with the same base using a single exponent. how many factors of 10 are in each power? 10² · 10³; 10 · 10 · 10³; 10 · 10 · 10 · 10 · 10. number of factors of 10 in 10²: 2; number of factors of 10 in 10³: 3. write the number of factors of 10 in the product. then show the product as a power. number of factors of 10 in 10² · 10³: blank; 10² · 10³ = ? dropdown

Explanation:

Step1: Count total 10 factors

Add the counts of 10s: $2 + 3 = 5$

Step2: Rewrite as single exponent

Use product rule: $10^{2+3} = 10^5$

Answer:

Number of factors of 10 in $10^2 \cdot 10^3$: 5
$10^2 \cdot 10^3 = 10^5$