What is the value of 10 raised to the negative sixth power?

The value of 10 raised to the negative sixth power is calculated by the rule of negative exponents, which states that a negative exponent indicates that we take the reciprocal of the base raised to the absolute value of the exponent.

In this case, 10 raised to the negative sixth power can be expressed as:

[ 10^{-6} = \frac{1}{10^6} ]

Calculating ( 10^6 ) gives us 1,000,000. Therefore,

[ \frac{1}{10^6} = \frac{1}{1,000,000} = 0.000001 ]

Thus, the correct answer is 0.000001, confirming that the value of 10 raised to the negative sixth power is indeed represented accurately by the option provided. This demonstrates an important principle in exponents, particularly how to handle negative values, which can often be a source of confusion.