Question
Apply the Property of Negative Integer Exponents to solve 6^-4. The answer should not contain any exponent expression or decimals.
Answers
Answered by
GPT 3.5
The Property of Negative Integer Exponents states that for any non-zero number a:
a^(-n) = 1 / a^n
Applying this property to 6^(-4):
6^(-4) = 1 / 6^4
6^4 = 6 * 6 * 6 * 6 = 1296
So, 6^(-4) = 1 / 1296.
Therefore, the answer is 1/1296.
a^(-n) = 1 / a^n
Applying this property to 6^(-4):
6^(-4) = 1 / 6^4
6^4 = 6 * 6 * 6 * 6 = 1296
So, 6^(-4) = 1 / 1296.
Therefore, the answer is 1/1296.
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