Proper es of Exponents: Video 2
Prac ce
1)
2)
3)
a)
b)
c)
d)
e)
g)
1
f)
Proper es of Exponents: Video 3
Prac ce
a)
b)
c)
d)
e)
1)
2)
4)
2
3)
5)
Proper es of Exponents: Video 4
Prac ce
1) 6y-4
3)
c−3
d−5
5) (4x-4y2)-3
The area of a rectangle is A =
2) a2b-4
4) (2b)-5
6)
and the area of a circle is A =
What is the ratio of the area of the rectangle to the area of the circle?
3
x−6
4y 5
.
Proper es of Exponents: Videos 1-4
Prac ce
a)
b)
c)
d)
e)
1) (5x8y5)4
4
6
4
2) ( 3x
)
y9
3) (4x-3y-4)-2
4) 10m4 ∙ (2m5)6
7)
1
4x5
∙
5
( )
2x2
y3
5)
3
( )
4a2
5b3
8)
6)
x−6 y 4
5
9) –(4c7)3
4
(−3x2 )− y −1
bx
10) Find the values of x and y if you know that y
b
1
2
(4x−5 )−
5
= b and
bx+2
b2y
= b4 .
Proper es of Exponents: Video 5
Prac ce
Pages 401 -404 in books
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Extra Practice
Simplify the expression.
1) y3 ∙ y ● y4
2) (z5)5
4) (2ab)5
5) (3m7)4 ● m3
3) (-3c)4
Find the missing exponent.
6) x6 • x? = x12
6
7) (x4)? = x12
8) (3z?)3 = 27z18
9) You are designing a wall mural that will be composed of squares of
different sizes. One of the requirements of your design is that the side
length of each square is itself a perfect square.
a) If you represent the side length of a square as x2, write an
expression for the area of a mural square.
b) Find the area of a mural square when x = 5.
c) Find the area of a mural square when x = 10.
Simplify the expression.
1) z 16 •
7
1
z7
3
2) (− 6z )
4
5
3) ( 3x
)
y6
4
3x
4) ( 2y
12 )
5) Find the volume of a cylinder with a diameter of 8a3bc2 units and a height of
2a2b2c4 units. (Use the symbol for Pi) (V = Bh).
7
6) You are taking a glass blowing class and have created a vase in the shape of a
sphere. The vase will have a hole in the top so you can put flowers in it and it will
sit on a stand. The radius of your vase is 21
inches. Use the formula V = 34 πr3 to
2
write an expression for the formula of your vase.
Simplify the expression. Write your answer using only posi ve exponents.
1) x-7
2) (-3m)-4
4) (8mn3)0
5)
2
7)
8
10
(a8 b17 ) (−2ab)
2
(4a6 b5 )
0
(ab)
x2
y −4
3) 3x-2y-5
6)
8) (9j6k-9)(-12j-9k9)
1
3x−3 y −7
9) A frog egg currently has a radius of 5-1 cen meters. Write an expression using
posi ve exponents for the volume of the frog egg. Use the formula for the volume
of a sphere V = 34 πr3 .
1) Simplify.
2) Find the volume of a cylinder (V=Bh) with a diameter of 8a3b5c units and
a height of 10a2bc2 units. (Use π for Pi. Do not use a number)
3) Simplify.
9
4) What is the area of a square with a side length of 5x2y3z7?
(4x + 5x)0 + (2xy3)3
(2p3)(5p)
10