Respuesta :

The answer is 1.5 × 10⁻¹² m²

1 m = 10⁶ μm
(1 m)² = (10⁶ μm)²
1 m² = (10⁶)² μm²
1 m² = 10⁶*² μm²
1 m² = 10¹² μm²

⇒ 1 μm² = 10⁻¹² m²
⇒ 1.5 μm² = 1.5 × 10⁻¹² m²

The area covered by the bacterium in square meters is [tex]\boxed{1.50 \times {{10}^{ - 12}}{\text{ }}{{\text{m}}^{\text{2}}}}.[/tex]

Further explanation:

Given:

A certain bacterium covers an area of [tex]1.50\mu {m^2}.[/tex]

Explanation:

The area covered by the bacteria is [tex]1.50\mu {m^2}.[/tex]

Area is the square of the length. The unit of area is square units.

[tex]\mu[/tex] represents the micrometer.

In one micrometer there are [tex]{10^{ - 6}}[/tex] meter.

[tex]1\mu m = 1 \times {10^{ - 6}}{\text{ m}}[/tex]

In one micrometer square there are [tex]{10^{ - 12}}[/tex] meter.

[tex]1\mu {m^2} = 1 \times {10^{ - 12}}{\text{ }}{{\text{m}}^2}.[/tex]

[tex]1.50\mu {m^2}[/tex] in [tex]{m^2}[/tex] can be expressed as follows,

[tex]\begin{aligned}1.50\mu {m^2}&= 1.50 \times {\left( {1 \times {{10}^{ - 6}}} \right)^2}\\&= 1.50 \times {10^{ - 12}}{\text{ }}{{\text{m}}^2}\\\end{aligned}[/tex]

The area covered by the bacterium in square meters is [tex]\boxed{1.50 \times {{10}^{ - 12}}{\text{ }}{{\text{m}}^{\text{2}}}}.[/tex]

Learn more:

1. Learn more about line segment and rayshttps://brainly.com/question/909890.

2. Learn more aboutequation of circle brainly.com/question/1506955.

3. Learn more about coplanar and non-collinear pointshttps://brainly.com/question/4165000.

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Unit Conversion

Keywords: measurement, microscope, bacteria, area, square meters, microscopic, bacterium covers area, 1.50, convert, unit conversions, micrometer, meters, m^2, length, area covered.