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

Study for the FAA-H-8083-30B AMT General Handbook – Mathematics in Aviation Maintenance Exam. Engage with flashcards and multiple choice questions, with hints and explanations. Get ready for your exam!

The value of 10 raised to the negative sixth power is calculated using the rule that indicates that raising a number to a negative exponent is equivalent to taking the reciprocal of that number raised to the corresponding positive exponent. In this case, 10 raised to the power of -6 can be expressed as:

10^(-6) = 1 / 10^6.

Next, we calculate 10^6, which is 1,000,000. Taking the reciprocal gives us:

1 / 1,000,000 = 0.000001.

Thus, 10 raised to the negative sixth power equals 0.000001, which is represented correctly in the options provided. This result shows how negative exponents relate to small fractions of base numbers, a concept important in various fields such as aviation maintenance, where precise calculations and conversions may be required.

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