Prepare for the BC Math 10 Provincial Exam by working through this Exponents practice test. This course is also known as BC Math 10 Foundations and Pre-Calculus 10.

1. www.provincialexam.ca | BC Math 10 Provincial Exam Practice Questions
Exponents Practice Test Name: ______________________ Period: _____
No Calculator Section (Questions 1 to 6)
1) Which of the following statements are true? Choose MORE than one answer. (no calc)
I. 16 8= since 8 8 16+ =
II. 9 3= since 3 3 9× =
III. 3
4 2= since 2 2 4× =
IV. 3
8 2= since 2 2 2 8× × =
(Sample answer: II, III, IV)
Answer: II, IV
2) Is 2
16 a perfect cube? (Yes or No) (no calc)
Answer: no
3) Is 5
8 a perfect cube? (Yes or No) (no calc)
Answer: yes
4) Write
6
6
15
3
as a single power. (no calc)
Answer: 6
5
5) Arrange from least to greatest value of exponent (think number line) (no calc):
I.
1
w
II. 2
w III. 4 1/2
w IV. 3
w
(for example: II, III, I, IV)
Answer: I, III, IV, II
6) Arrange from least to greatest (no calc):
I. 2 2− II. 16 III. 3 3 IV. 2 5−
(for example: I, II, IV, III)
Answer: IV, I, II, III

2. Calculator Allowed Section (remainder of test)
7) Suppose profit is a function of time 3/4
2.5P t= . 8t = .
Which step contains the FIRST mistake?
A. 43
2.5 8P =
B. 3
2.5 4096P =
C. 2.5(64)P =
D. 160P =
E. There is no mistake
Answer: A
8) Give the Rational (R) vs. Irrational (I) number sequnce for the following six
numbers: π , 2.5234872983123..., 1.5 , 2.6 , 16 , 2 (ex. I, R, R, R, I, I)
Answer: I, I, R, R, R, I
9) Express as an entire radical: 3
2 5
Answer: 3
40
10) Simplify 2 3 5
2(3 )x x×
Answer: 11
54x
11) Simplify
( )
2
3
4
5x
x
−
(make the exponents positve)
Answer: 10
1
25x

3. 12) Simplify 55 2
w w÷
(write simplifed answer in a radical form, NOT as a fractional exponent)
Answer: 0 211
w
13) Solve x . 2
2 1
1
3
27
x
x
+
−
=
Answer: 1/7
14) Simplify:
2
4
21
14 w
x
x
     
Answer:
8 2
9
4
w
x −
15) Simplfy:
2/3
2
3 3
16
2
x y
x y
−
−
 −     
. Leave answer with positive fractional exponents.
Answer:
2/3
4/3
4x
y

4. 16) Write 3
5−
as a fraction.
Answer: 1/125
17) Given 8 3n
x x= , determine the value of n .
Answer: 8/3
18) ( )( )23 4
5 5 5x
= . Solve x .
Answer: 8/3 or 2.67≈
19) Place 4
4 on the number line below. Draw an arrow.
Answer:
20) A virus triples every hour. If there are 50000 viruses now, approximately how many
viruses there were 5 hours ago? Round final answer to the nearest INTEGER.
Answer: ≈ 206