What is 10 raised to the power of -6 in decimal form?

What is 10 raised to the power of -6 in decimal form?

• A. 0.00001
• B. 0.0001
• C. 0.0000001
• D. 0.000001

Answer: (D)

Raising ten to a negative exponent means taking the reciprocal of a power of ten. So 10^(-6) = 1 / 10^6. Since 10^6 is 1,000,000, its reciprocal is 0.000001. In decimal form, you move the decimal point six places to the left from 1, giving six digits after the decimal: five zeros and then a 1. The other options correspond to 10^-5, 10^-4, and 10^-7, which are not the same. The decimal form of 10^(-6) is 0.000001.

Raising ten to a negative exponent means taking the reciprocal of a power of ten. So 10^(-6) = 1 / 10^6. Since 10^6 is 1,000,000, its reciprocal is 0.000001. In decimal form, you move the decimal point six places to the left from 1, giving six digits after the decimal: five zeros and then a 1. The other options correspond to 10^-5, 10^-4, and 10^-7, which are not the same. The decimal form of 10^(-6) is 0.000001.