7.5b Solving Equations with Rational Exponents
Laughter gives us distance. It allows us to step back
from an event, deal with it and then move on.
Solving Radical Equations with Rational Exponents
Rational Exponents: You can solve equations of the
form x m n  k by raising each side of the equation to
the power n m, the reciprocal of m n.
Ex1) x
32
 5  120
Same rules apply as radicals
1) Isolate
2) Eliminate
3) Solve and Check
Solve ~ check for extraneous solutions
Ex2)
 2 x  1
1
3
5  0
3
5
Ex3) 3 x  1  24
Solve ~ check for extraneous solutions
1
2
Ex4) 11x  3  2 x  0
Solve ~ check for extraneous solutions
Ex5)
 x  1
2
3
1
3
  9 x  1  0
7.5b Solving Equations with Rational Exponents
HW: #7-11 odd, 16, 19, 20, 22, 23, 28-30, 50
Laughter gives us distance. It allows us to step back
from an event, deal with it and then move on.