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WorksheetsExponent Rules Spicy
Total questions: 15
Worksheet time: 38mins
Name
Class
Date
1.
6⋅6⁷
a)
6⁸
b)
6⁶
c)
6⁷
d)
6
2.
n²⋅n⁴⋅n⁵
a)
n¹¹
b)
n⁴⁰
c)
n¹³
d)
n²²
3.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
4.
Simplify (2m4)(5m2)
a)
10m6
b)
10m8
c)
7m6
d)
7m8
5.
What is the value of x?
316 = (38)(3x)
316 = (38)(3x)
a)
2
b)
8
c)
4
d)
1
6.
a3b(ab)2=
a)
a5b3
b)
a6b4
c)
a2b2
d)
a9b6
7.
Simplify.
(x³ ⋅ y⁴ ⋅ z)³ ⋅ (x⁵ ⋅ y ⋅ z³)²
(x³ ⋅ y⁴ ⋅ z)³ ⋅ (x⁵ ⋅ y ⋅ z³)²
a)
x¹⁹y¹²z⁹
b)
x¹⁹ y¹⁴z⁹
c)
x¹³y¹⁰z⁹
d)
x²³y⁴²z¹¹
8.
A rectangle has an area of 34x²y⁸ and a base of 17xy. What is the height?
a)
2xy⁷
b)
17xy
c)
17xy³
d)
2xy
9.
Simplify
(4x3 -3x2 + 6x - 4) - (-2x3 + x2 -20)
(4x3 -3x2 + 6x - 4) - (-2x3 + x2 -20)
a)
4x2 - 6x3 - 2x + 6
b)
3x + 5x2 + 1
c)
6x3 -4x2 + 6x +16
d)
3x + 2
10.
Simplify the expression shown. Your answer should contain only positive exponents.
a)
-24x4y6
b)
12x4y5
c)
-24x4y24
d)
-3x4y2
11.
Simplify the expression.
a)
8ac
b)
-24abc
c)
-8ac
d)
-8abc
e)
8a9b6c3
12.
Simplify the following expression:
a)
14x6
b)
14x3
c)
9x3
d)
9x6
13.
Which answer is the given expression fully simplified?
a)
32q7/w
b)
20q17w9
c)
32q7w9
d)
20qw
14.
The area of a rectangle is 54x9y8 square yards. If the length of the rectangle is 6x3y4 yards, which expression represents the width of the rectangle in yards?
a)
9x3y2
b)
48x6y4
c)
9x6y4
d)
60x12y12
15.
A circle has a radius of 6x9y5 cm. The area of a circle can be found using the equation in the picture. What is the area of this circle in square centimeters?
a)
b)
c)
d)
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