# Test 7.6-7.7

From Huben's Wiki

7.6: Rational Exponents

- convert rational exponent into roots and back again
- evaluate with rational exponents
- simplifying with rational exponents

- leave in rational form
- all positive exponents
- exponents in denominators must be positive integers (may need to rationalize denominator)
- rationalize by multiplying by roots or fractional powers
- rationalize by multiplying with the conjugate

7.7: Solving Radical Equations and Inequalities

- solve for the variable and
**check**if the answer is an**extraneous solution** - use inverses: roots (and fractional powers) are inverses of powers
- solve
**radical inequalities**- hidden inequalities from the even roots
- solve for the variable in all inequalities
- all inequalities must be satisfied: "and"
- visualize and test answer with a number line