Power is the result of multiplying two numbers together. The length of each colony is 10⁻⁵ inches.
What is power?
Power is the result of multiplying two numbers together. Power is typically expressed by a base number and an exponent. The base number indicates the number being multiplied. The exponent, which is a little number printed above and to the right of the base number, indicates the number of times the base number is multiplied.
Given that the number of bacteria that Ms. Yang's fish tank has is 2×10⁸, while the length of each bacteria is 5×10⁻¹² inches. Therefore, the length of the entire colony of bacteria is,
Length of entire bacteria colony = 2×10⁸ × 5×10⁻¹²
Now, since Ms. Yang divides the colony into 10² equal colonies, therefore, the length of each colony will be,
Length of each colony = (2 × 10⁸ × 5 × 10⁻¹²) / 10²
= (2 × 5 × 10⁸ × 10⁻¹²) / 10²
= (10 × 10⁸ × 10⁻¹²) / 10²
= 10 × 10⁸ × 10⁻¹² × 10⁻²
= 10⁽¹⁺⁸⁻¹²⁻²⁾
= 10⁻⁵
Hence, the length of each colony is 10⁻⁵ inches.
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