Expanding
Expand 38
3 * 3 * 3 * 3 * 3 * 3 * 3 * 3
Write as a single base and exponent
a2 * a3
a * a * a * a * a
a5
Write as a single base and exponent
(a2)2
a2 * a2
a * a * a * a
a4
Simplify
m^4/m^6
(m * m * m * m)/(m * m * m * m * m * m)
1/m^2
What University/College does Mr. Nations attend?
The University of Kansas (KU)
Expand a3
a * a * a
Write as a single base and exponent
43 * 45
4 * 4 * 4 * 4 * 4 * 4 * 4 * 4
48
Write as a single base and exponent
(y2)3
y2 * y2 * y2
y * y * y * y * y * y
y6
Simplify
3^6/3^2
( 3 * 3 * 3 * 3 * 3 * 3)/(3 * 3)
34
How many instruments does Mr. Nations play?
8: Guitar, Bass, Violin, Viola, Cello, Concert Bass, Drums, Piano
Expand k7
k * k * k * k * k * k * k
Write as a single base and exponent
(-2)3 * (-2)4
(-2) * (-2) * (-2) * (-2) * (-2) * (-2) * (-2)
(-2)7
Expand and Simplify
(2xy)2
2 * 2 * x * x * y * y
4 * x2 * y2
Simplify
(a^5b^3)/(a^2b^4)
(a^3)/b
What does the exponent tell us?
How many times we multiply the base!
Expand m10
m * m * m * m * m * m * m * m * m * m
Write as a single base and exponent
2x6 * x4
2 * x * x * x * x * x * x * x * x * x * x
2x10
Expand and Simplify
(k1j1)4
k1j1 * k1j1 * k1j1 * k1j1
k * k * k * k * j * j * j * j
k4j4
Simplify
(3/5)^5
3^5/5^5
x1234 * x6
x1240
Expand a3*b6
a * a * a * b * b * b * b * b * b
Write as a single base and exponent
2x4 * 3x
2 * 3 * x * x * x * x * x
6x5
Expand and Simplify
(x2y)3
x2y * x2y * x2y
x2 * x2 * x2 * y * y * y
x * x * x * x * x * x * y * y * y
x6y3
Simplify
(a/b)^6
a^6/b^6
Simplify
(x2y3)100
x200y300