6.6 & 6.7
Rational Exponents and Radical Equations
by Becky Belisle
6.6 Rational Exponents
A base raised to a rational exponent can be expressed as a radical. The denominator of the rational exponent is the index of the radical, the base is the radicand, and the base of the radicand is raised to the power of the numerator. The rules of operations on radicals and exponents still apply.
Review of Negative Exponents
Rational Exponents
Rational Exponents to Radicals
6.7 Radical Equations
1) Isolate the radical on one side of the equation.
2) Raise each side of the equation to the power of the index of the radical.
3) Solve.
4) Check for extraneous solutions.
Summary
Rational Exponents- the denominator of the exponent is the index and the base is raised to the numerator in the radicand
Radical Equations- solve normally after isolating and eliminating the radical; check for extraneous solutions
Upcoming Assessments
Monday 12/7- Quiz 4
Thursday 12/10- Test 2
Citation
Algebra 2 Online Textbook
http://connected.mcgraw-hill.com/c2j/dashboard.do?bookId=OGYVOC7XOE3BPNP7LVY3KR7N9Q