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7.2 Rational Exponents
Understanding a1/n Recall that a cube root is defined so that However, if we let b = a1/3, then Since both values of b give us the same a, If n is a positive integer greater than 1 and is a real number, then
Example Use radical notation to write the following. Simplify if possible. a. b. c.
Understanding am/n as long as is a real number If m and n are positive integers greater than 1 with m/n in lowest terms, then as long as is a real number
Example Use radical notation to write the following. Simplify if possible. a. b.
Understanding am/n as long as a-m/n is a nonzero real number.
Example Use radical notation to write the following. Simplify if possible. a. b.
Example Use properties of exponents to simplify the following. Write results with only positive exponents. a. b.
Example Use rational exponents to write as a single radical.