CCSS.MATH.CONTENT.HSN.RN.A.1Explain 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.
For example, we define 51/3 to be the cube root of 5 because we want (51/3)3 = 5(1/3)3 to hold, so (51/3)3 must equal 5.
CCSS.MATH.CONTENT.HSN.RN.A.2Rewrite expressions involving radicals and rational exponents using the properties of exponents.
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https://schoolyourself.org/page/lti/sy/algebra/fractional-powers