The answer is 2.5x10^-6
2.2 x 10⁴ / 8.8 x 10⁹ can be rewritten as:
2.2 x 10⁴ / 8.8 x 10⁹ = 2.2/8.8 x 10⁴/10⁹
Using the rule xᵃ/xᵇ = xᵃ⁻ᵇ, we can express 10⁴/10⁹ as:
10⁴/10⁹ = 10⁴⁻⁹ = 10⁻⁵
Hence:
2.2/8.8 x 10⁴/10⁹ = 0.25 x 10⁻⁵
However, the scientific notation includes numbers 1-9, so we must represent 0.25 as 2.5 x 0.1
0.25 x 10⁻⁵ = 2.5 x 0.1 x 10⁻⁵ = 2.5 x 10⁻¹ x 10⁻⁵
Using the rule xᵃ * xᵇ = xᵃ⁺ᵇ, then:
2.5 x 10⁻¹ x 10⁻⁵ = 2.5 x 10⁽⁻¹⁾⁺⁽⁻⁵⁾ = 2.5 x 10⁻⁶
Now, let's go all through from the beginning:
2.2 x 10⁴ / 8.8 x 10⁹ = 2.2/8.8 x 10⁴/10⁹ = 0.25 x 10⁻⁵ = 2.5 x 10⁻⁶
