Answer:
8.3 × 10¯¹¹
Step-by-step explanation:
4.731×10¯⁷ ÷ 5.7×10³
The above expression can be simplified as follow:
4.731×10¯⁷ ÷ 5.7×10³
Recall
a^m ÷ a^n = a^(m – n)
4.731×10¯⁷ ÷ 5.7×10³ = (4.731 ÷5.7) × 10^(–7 – 3)
4.731×10¯⁷ ÷ 5.7×10³ = 0.83 × 10¯¹⁰
4.731×10¯⁷ ÷ 5.7×10³ = 8.3×10¯¹ × 10¯¹⁰
Recall
a^m × a^n = a^(m + n)
8.3×10¯¹ × 10¯¹⁰ = 8.3 × 10^(–1 + –10)
8.3×10¯¹ × 10¯¹⁰ = 8.3 × 10^(–1 – 10)
8.3×10¯¹ × 10¯¹⁰ = 8.3 × 10¯¹¹
Therefore,
4.731×10¯⁷ ÷ 5.7×10³ = 8.3 × 10¯¹¹