Question

Please help!!!

Perform the following operation
and express the answer in
scientific notation.
9x102: 3x1012

Answer 1

3 × 10¯¹⁰

Step-by-step explanation:

9×10² ÷ 3×10¹²

The above expression can be simplified as follow:

9×10² ÷ 3×10¹²

Recall:

9 = 3²

9×10² ÷ 3×10¹² = 3²×10² ÷ 3×10¹²

Recall:

a^m ÷ a^n = a^(m – n)

3²×10² ÷ 3×10¹² = 3^(2 – 1) × 10^(2 – 12)

= 3¹ × 10¯¹⁰

Recall:

a¹ = a

3¹ × 10¯¹⁰ = 3 × 10¯¹⁰