4.731 * 10 ^ - 7 / 5.7 * 10 ^ 3 express in scientific notation

8.3 × 10¯¹¹

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

i just learnt this recently but i need to look through my notes again

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