Name______________________________
Date: _________________ Block:_______
Ms. Gallagher
Warm Up Fill in the Table Below WITHOUT A CALCULATOR!!
x
x2
x3
x4
4
2
256
1
81
6561
NotesEvaluating nth roots
If we have bn = a, then it is said that b is the nth root of a. We write it b =
Example One Evaluating nth roots
a) The 3rd root of -27
c) The 4th root of 81
e) The 5th root of 32
b) The 3th root of 27
d) The 3rd root of 64
f) The 2nd root of 121
What do rational exponents mean?
Example Two Rewrite the expression using radical notation and evaluate
a)
c)
e)
b)
d)
f)
Example Three Use a calculator to APPROXIAMTE the roots
a)
c)
b)
d)
Solving Equations Using nth Roots
Step 1 Isolate the “power term”
Step 2 find the nth root of both sides
Step 3 CHECK 
Example Four Solve the equation WITHOUT A CALCULATOR
a) (x + 6)2 – 4 = 12
c) (x – 3)4 = 16
b) 4x5 = 128
d) x3 – 2 = 0
And everyone’s favorite…
Example Five A study showed that the weight in grams, w, of a coral cod near the
Philippines can be approximated using the model w = 0.0167L3 where L is the cid’s
length in centimeters. Estimate the length of a coral cod whose weight is 200 grams.
Example Six A men’s shot used in a shot put competition has a volume of 905 cubic
centimeters. Find the shot’s radius.
Homework
6.1 #15, 16, 17, 20 – 28, 53 – 58, 61, 62, 63