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Standards/Math/West Virginia/M.2HS.1

M.2HS.1

M.2HS High School Mathematics II
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Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. (e.g., We define 5^1/3 to be the cube root of 5 because we want (5^1/3)^3 = 5^(1/3)3 to hold, so (5^1/3)^3 must equal 5.)

Example Problems
Evaluate:
log4​(8)
Evaluate:
log9​(3)
Evaluate:
log5​(5)
Khan Academy Resources
Fractional exponentsUnit-fraction exponentsRational exponents challengeIntro to rational exponentsRewriting roots as rational exponentsExponential equation with rational answer
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