Exponents Practice Questions

Exponents Practice Questions

Exponents are an essential part of basic math and appear on almost every high school exam and college entrance exam.

Tips and Shortcuts     Common Exponents   Tests with Exponents
Practice Questions    Answer Key    Tutorials

Exponents:  Tips, Shortcuts & Tricks

Exponents may seem like advanced math —like some mysterious code with a complicated meaning. In fact, though, an exponent is just short hand for saying that you’re multiplying a number by itself two or more times. For instance, instead of saying that you’re multiplying 5 x 5 x 5, you can show that you’re multiplying 5 by itself 3 times if you just write 53 .We usually say this as “five to the third power” or “five to the power of three.” In this example, the raised 3 is an “exponent,” while the 5 is the “base.”

You can even use exponents with fractions. For instance, ½ 3 means you’re multiplying ½ x ½ x ½. (The answer is 1/8). Some other helpful hints for working with exponents:

  • Here’s how to do basic multiplication of exponents. If you have the same number with a different exponent (For instance 53 X 52  ) just add the exponents and multiply the bases as usual. The answer, then, is 255 .
  • This doesn’t work, though, if the bases are different. For instance, in 53  X 32   we simply have to do the math the long way to figure out the final solution: 5 x 5 x 5,  multiplying that result times the result for 3 X 2. (The answer is 750).
  • Looking at it from the opposite side, to divide two exponents with the same base (or bottom number), subtract the smaller exponent from the larger one. If we were dividing the problem above, we would subtract the 2 from the 3 to get 1.  5 to the power of 1 is simply 5.
  • One time when thinking of exponents as merely multiplication doesn’t work is when the raised number is zero. Any number raised to the “zeroth” power is 1 (Not, as we tend to think, zero).

 

Common Exponents

Number ( x )Square ( x 2 )Cube ( x 3 )
111
248
3927
41664
525125
636216
749
864
981
10100
11121
12144
13169
14196
15225
16256

 

 

 

Standardized Tests with Exponents Questions

High SchoolBC ProvincialCOOP,  HSPT, ISEE, SHSAT, SSAT, TACHS,

Nursing Entrance: DET, NET, TEAS, PAX RN, PSB,

High School Equivalency: CHSPE, GED

Armed Services: AFQT, ASVAB

How to Study for a Math test

Practice Questions

1. 23 =

a. 8
b. 16
c. 32
d. 5

2. x5/x-3=

a. x2
b. x-2
c. x8
d. x-8
e. x-1.6

3. 1002 x 1005 = 100y  y=?

a. 1
b. 1.5
c. 2
d. 2.5
e. 7

4. Divide 0.123 by 103

a. 123
b. 1.23
c. 0.0123
d. 0.00123
e. 0.000123

5. 33 =

a. 1/81
b. 81
c. 27
d. 81

6.
exponents_clip_image012

 

a. -1
b. 0
c. 1
d. X-1

7. Divide 0.123 by 10-3

a. 123
b. 1.23
c. 0.0123
d. 0.00123
e. 0.000123


Answer Key


1. A

2. C

3. E

4. E

5. C

6. C

7. A

Exponents Tutorials 

Purple Math – Simple Rules for Exponents

Introduction to Exponents -Video

 

 

Written by:
Modified: August 27th, 2018 August 27th, 2018
Published: March 27th, 2013

9 thoughts on “Exponents Practice Questions”

  1. Hello, I am looking for a good math book that teaches all the basic fundamentals of math for an adult (myself). I dropped out of high school so I missed out on learning percentage, fractions, etc. I now find math to be very intimidating. I probably need to start from the beginning so everything makes sense as I progress.

    If you can recommend a book that also has worksheets to practice that would be lovely.

    Thanking you in advance,
    Mrs. Edwards

  2. The answer is correct

    3. 1002 x 1005 = 100y y=

    When multiplying exponents of the same base, add them – y = 7

    1. 2) when u have exponents that are divided you need to subtract those exponents. So it is 5 – (-3). Subtracting a negative you change the sign. Change the -3 sign into positive, and the problem then becomes 5 + 3 which is 8. x to the 8th power is the answer which is c.

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