6.1 Exponent Rules
6.2 Radicals and Rational Exponents
6.3 Exponential Functions
6.4 Exponential Growth and Decay
6.5 Exponential Equations
6.6 Sequences
100
x4 * x6
x10
100
sqrt(3)sqrt(11)
sqrt33
100
Exponential, linear, or neither
Linear
100
Find the % growth or decay:
y=3(1.12)^x
12% Growth
100
34 = 32x
x = 2
100
What type of sequence is this:
3,7,11,15,...
Arithmetic
200
(3x2)2
9x4
200
sqrt3 *sqrt3
3
200
Exponential, linear or neither
Neither
200
Exponential Growth or Decay?
Exponential Decay
200
(24)x = 23
x = 3/4
200
What type of sequence is this:
4, 12, 36, 64,...
Neither
300
g4 ÷ g
g3
300
root(3)64
4
300
Exponential, linear or neither
Exponential
300
Find the % growth or decay:
y=(0.5)^t
50% Decay
300
9x = 312
x = 6
300
Create the formula for the nth term:
7, 9, 11, 13,...
an = 7 + 2(n - 1)
or an = 2n + 5
400
(h7)9
h63
400
Rewrite as an exponent:
root(4)x^5
x^(5/4)
400
y=3(2)^x when x=3
24
400
Find the % growth or decay:
y=0.14(0.96)^t
4% decay
400
42x+1 = 83x
x = 2/5
400
Create the formula for the nth term:
3, 12, 48, ...
an = 3(4)n-1
500
(x^7 * x^4)/x^9
x2
500
Rewrite as a radical:
y^(4/7)
root(7)y^4
500
Solve when x = 4
y=6(2)^x
96
500
Find the % growth or decay:
y=3(3/4)^t
25% decay
500
1/16 = 4^x
x = -2
500
Find the 14th term:
an = 3n + 11
53
600
(2x)/(x^2)
2/x
600
Simplify:
sqrt(200)
10sqrt2
600
Solve:
root(3)(8)^3
8
600
Find the % growth or decay:
y=1/2(3/20)^t
85% Decay
600
1/27 = 3^(3x-4)
x = 1/3
600
Find the 12th term:
2, 6, 10, 14,...
a12 = 46
700
(3x3y4)3
27x9y12
700
Simplify:
sqrt180
6sqrt5
700
Solve:
(125^(1/3))^2
25
700
Find the % growth or decay:
y=4(7/2)^2
250% Growth
700
642x+1 = 324x
x = 3/4
700
find the 12th term:
6, 18, 54, 162,...
a12 = 1062882