Kaplan Nursing Entrance Practice Exam

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Prepare for the Kaplan Nursing Entrance Exam with our comprehensive quiz. Utilize flashcards and multiple choice questions, each with detailed hints and explanations, to increase your readiness and confidence for the test!

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What expression is equivalent to X20/X5?

The correct answer is: X15

To simplify the expression $ X^{20} / X^{5} $, it's important to apply the rules of exponents. According to the properties of exponents, when dividing two exponential expressions with the same base, you subtract the exponent in the denominator from the exponent in the numerator. In this case, the calculation proceeds as follows: \[ X^{20} / X^{5} = X^{20-5} = X^{15} \] This shows that the expression $ X^{20} / X^{5} $ simplifies to $ X^{15} $. Thus, the correct equivalent expression is $ X^{15} $. Understanding this property of exponents is vital in algebra, as it helps in simplifying expressions and solving equations efficiently.