NAME DATE
PERIOD
Exponents Review Sheet with Answers
Practice and Check your answers when you are done.. If you are struggling see help on
bottom of page
Write the letter for the correct answer in the blank at the right of each question.
1. What is the value of the expression (−4)
3
?
SCORE
1.
A. –64
B. –12
C. 12
D. 64
5
2
12
6
x
x
I. 2x
3
2
3
G. 6
3
H. 6x
3
2.
F.
3. Using exponents, what is the simplified form of the expression (−3x
4
y
2
)
2
?
A. –6x
6
y
4
B. 6x
6
y
4
C. –9x
8
y
4
9x
8
y
4
3.
D.
4. How is the expression 10
−5
written using a positive exponent?
G.
1
10
5
I. 0.0001
F. −10
5
H. 10
–5
4.
5. The Statue of Liberty weighs 450,000 pounds. What is this number written in
scientific notation?
A. 4.5 × 10
–5
C. 4.5 × 10
4
B. 4.5 × 10
–4
D. 4.5 × 10
5
5.
6.
7.
8.
9.
6. What is 3.471 × 10
–5
written in standard form?
A
I
C
G
D
D
B
G
C
B
NAME DATE
PERIOD
SCORE
10.
18
10. The top speed of a cheetah is approximately 1.2 × 10
2
kilometers per hour,
while the speed of the fastest human is approximately 4 × 10
1
kilometers
per hour. How many times faster is the top speed of a cheetah than the
speed of a human?
Which statement is true?
A. The cheetah is 3 times fasters than the human
B. The cheetah is 30 times faster than the human
C. The human is 3 times faster than the cheetah
D. The human is 30 times faster than the cheetah
THINGS TO REMEMBER
Laws of Exponents
Product law
1.) Keep the base the same
2.) Add the exponents
Quotient Law
1.) Keep the base the same
2.) Subtract the exponents
Power to a Power
1.) Keep the base the same
2.) Multiply the exponents
Multiply Monomials
1.) Multiply Coefficients
2.) Keep the base (variable)
the same
3.) Add Exponents
Divide Monomials
1.) Divide Coefficients
2.) Keep the base (variable)
the same
3.) Subtract the exponents
Negative Exponents
1.) Take the reciprocal
2.) Make the exponents
positive
Zero Exponents
Anything to the zero power is 1
Add /Subtract Scientific Notation
1.) Put the #’s in standard
form
2.) Add/subtract
3.) Put the answer in
scientific notation
Multiply #’s in Scientific Notation
1.) Multiply decimals
2.) Keep the 10 the same
3.) Add exponents
4.) Make sure answer is in
scientific notation
*lose a decimal, gain an exponent
*gain a decimal, lose an exponent
Divide #’s in Scientific Notation
1.) Divide decimals
2.) Keep the 10 the same
3.) Subtract exponents
4.) Make sure answer is in
scientific notation
*lose a decimal, gain an exponent
*gain a decimal, lose an exponent
Addition Word Problems
Combined
Altogether
increased
Sum
Subtraction Word Problems
Decreased
Difference
How many more
how MUCH greater
longer
wider
more
Unit Rate Words
Per day
Each day
Every day
A day
One day
daily
Multiplication Word Problems
Unit rate is GIVEN
Find the area or volume
Product
Division Word Problems
FIND the unit rate
How many TIMES greater
Place Value
Ten Thousandths .0001
Thousandths .001
Hundredths .01
Tenths .1
Ones 1
Tens 10
Hundreds 100
Thousands 1,000
Ten Thousand 10,000
Hundred thousand 100,000
Millions 1,000,000
Billions 1,000,000,000
Trillions 1,000,000,000,000
A