Back to The Real Number System — Problem 1 · Task Set 30

HSN.RN Tutor Intake — Rational Exponents and Real Number Properties

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Grade 9·12 problems·~13 min·Common Core Math - HS Number and Quantity·domain·rn

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Concepts

We want the power rule $(a^m)^n = a^{mn}$ to hold for ALL
exponents. Based on this requirement, what must $9^{1/2}$ equal?

$9/2 = 4.5$

$\sqrt{9} = 3$

$9^2 = 81$

$2\sqrt{9} = 6$