Question

(6 x 10⁻³) - (3 x 10⁻⁷)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To subtract numbers in scientific notation, you must have the same exponent. In this case, we have:

(6 x 10⁻³) - (3 x 10⁻⁷)

The exponent in the first term is -3, while the exponent in the second term is -7. To make them the same, we need to shift the decimal point in the second term 4 places to the right. This gives us:

(6 x 10⁻³) - (3 x 10⁻³⁻⁴)

= (6 x 10⁻³) - (3 x 10¹⁻⁴)

Now that the exponents match, we can subtract the numbers:

= (6 - 3) x 10⁻³⁻⁴

= 3 x 10⁻³⁻⁴

= 3 x 10⁻⁷

Therefore, (6 x 10⁻³) - (3 x 10⁻⁷) equals 3 x 10⁻⁷.