Question

(2.6 x 10⁶) / (2.0 x 10⁸) = ?
A) 0.013
B) 13
C) 1.3 x 10⁻²
D) 130

Answer 1

The division of (2.6 x 10⁶) by (2.0 x 10⁸) results in 1.3 x 10⁻², following the rules for dividing numbers in scientific notation by dividing the coefficients and subtracting the exponents.

Step-by-step explanation:

To find the result of the division (2.6 x 10⁶) / (2.0 x 10⁸), we can divide the coefficients (2.6÷2.0) and subtract the exponents of 10 (6−8), as per the rules of division for numbers in scientific notation.

Division of coefficients:
2.6÷2.0 = 1.3

Subtraction of exponents:
6 - 8 = -2

Combining these results gives us:

1.3 x 10⁻²

Therefore, the answer to the calculation (2.6 x 10⁶) / (2.0 x 10⁸) is 1.3 x 10⁻², which corresponds to option C) 1.3 x 10⁻².