Using the Quotient Rule, what is x^a / x^b equal to?

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Study for the 8th Grade FAST Mathematics Pre-Algebra Test. Enhance your skills with interactive flashcards and multiple choice questions, each containing hints and explanations to boost your comprehension and readiness for the exam. Get ready to ace your test!

Multiple Choice

Using the Quotient Rule, what is x^a / x^b equal to?

Explanation:
When two powers share the same base, dividing them means you subtract the exponents. Think of x^a / x^b as x^a times x^(-b). Multiplying powers with the same base adds their exponents, so a + (-b) = a - b. That gives x^(a - b). This is the quotient rule for exponents. (Note: x must be nonzero, and for real exponents you usually want x > 0 or integer exponents.)

When two powers share the same base, dividing them means you subtract the exponents. Think of x^a / x^b as x^a times x^(-b). Multiplying powers with the same base adds their exponents, so a + (-b) = a - b. That gives x^(a - b). This is the quotient rule for exponents. (Note: x must be nonzero, and for real exponents you usually want x > 0 or integer exponents.)

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