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

3 × 10¯¹⁰

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

the ozone layer acts as a filter for the shorter wavelength and highly hazardous ultraviolet radiation (uvr) from the sun, protecting life on earth from its potentially harmful effects. when the sky is clear, there is an inverse relationship between stratospheric ozone and solar uvr measured at the earth's surface.