What is 5^-1 equal to?

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Prepare for the Praxis Middle School Mathematics Exam with quizzes. Study with flashcards and multiple choice questions. Each question provides hints and detailed explanations. Ensure success on your test!

Multiple Choice

What is 5^-1 equal to?

Explanation:
A negative exponent means take the reciprocal of the base. For any nonzero number a, a^-n equals 1/(a^n). So 5^-1 is the reciprocal of 5, which is 1/5. This rule also works for other examples, like 2^-3 = 1/8. The other numbers shown would come from different exponents: 5 would come from exponent 1, 1 would come from exponent 0, and -1/5 would be the negative reciprocal, not the result of applying the exponent -1 to 5. So the value is 1/5.

A negative exponent means take the reciprocal of the base. For any nonzero number a, a^-n equals 1/(a^n). So 5^-1 is the reciprocal of 5, which is 1/5. This rule also works for other examples, like 2^-3 = 1/8. The other numbers shown would come from different exponents: 5 would come from exponent 1, 1 would come from exponent 0, and -1/5 would be the negative reciprocal, not the result of applying the exponent -1 to 5. So the value is 1/5.

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