Question

Evaluate 1.60 × 10⁻⁶/2.0 × 10⁻⁴ in scientific notation.

a) 8 × 10⁻³
b) 8 × 10⁻²
c) 8 × 10⁻¹
d) 8 × 10¹

Answer 1

To evaluate 1.60 × 10⁻⁶/2.0 × 10⁻⁴ in scientific notation, divide the coefficients and subtract the exponents. The answer is 8 × 10¹.

Step-by-step explanation:

To evaluate 1.60 × 10⁻⁶/2.0 × 10⁻⁴ in scientific notation, we can simplify the expression by dividing the coefficients and subtracting the exponents.

1. Divide 1.60 by 2.0 to get 0.80.
2. Subtract the exponent of 10⁻⁴ from the exponent of 10⁻⁶ to get 10⁻⁶ - ( -⁴ ) which equals 10⁻⁶ + ⁴. This can be simplified to 10⁻⁻² (10⁰) which equals 10².

Therefore, the answer is 0.80 × 10², which can be further simplified to 8 × 10¹ in scientific notation. Therefore, the correct answer is d) 8 × 10¹.