Question

10,000 = 10 × 10 × □ × □
if 38,433 = 3.8433 × 10m, then m =
1 + (2)(3)(4) =

Explanation:

Step1: Resolve first equation

First, calculate $10 \times 10 = 100$. Then find what multiplied by 100 equals 10,000: $\frac{10000}{100}=100$, which is $10 \times 10$.
$10,000 = 10 \times 10 \times 10 \times 10$

Step2: Solve for $m$

Rewrite 38,433 as $3.8433 \times 10^m$. Count decimal shifts: $3.8433$ needs 4 shifts right to get 38,433, so $10^4$.
$38,433 = 3.8433 \times 10^4 \implies m=4$

Step3: Calculate final expression

First compute the product: $2 \times 3 \times 4 = 24$. Then add 1.
$1 + (2)(3)(4) = 1 + 24$

Answer:

1. The two missing numbers are 10 and 10
2. $m=4$
3. $25$