Question

Express the following as the product of exponents to prime factorization 3600​

Answer 1

3600 = 2×2×2×2×5×5×3×3 = 2⁴×5²×3²

Answer 2

Step-by-step explanation:

$↪2 \times 1800 \\ ↪2 \times 2 \times 900 \\ ↪2 \times 2 \times 2 \times 450 \\ ↪2 \times 2 \times 2 \times 2 \times 225 \\ ↪2 \times 2 \times 2 \times 2 \times 3 \times 75 \\ ↪2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 25 \\ ↪2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 5 \times 5$

$\large \sf \purple{i.e \: {2}^{4} \times {3}^{2} \times {5}^{2}}$