See also the
Dr. Math FAQ:
order of operations
3D and higher
Browse Middle School Exponents
Stars indicate particularly interesting answers or
good places to begin browsing.
Selected answers to common questions:
- Dividing Negative Exponents [10/14/1998]
Why does a negative exponent become positive when you divide by it?
- Explaining Exponents [10/23/1997]
I do not understand how to solve exponents.
- Explaining Scientific Notation [10/21/2002]
Could you try to explain scientific notation to me?
- Exponents [12/04/1996]
I have trouble working out exponent problems. Is there an easy way to
work them or understand them?
- Exponents and Negative numbers [03/02/1997]
Why wouldn't the answer to -3 squared, standing alone and without
parenthesis or brackets, be -9?
- Exponents in the Real World [11/23/1997]
How come we have to know how to add, subtract, multiply, and divide
exponents? When do you add them?
- Fractional Exponents [08/09/1997]
Is there a proof for X^1/2 = the square root of X?
- Multiplying by a Power of Ten [10/31/2001]
Give the power of ten that the decimal must be multiplied by to eliminate
the decimal point in the numbers: 3.825; 6.91; 19.207.
- Negative Exponents Explained [12/29/2001]
I have a problem with exponents like 5 to the negative second.
- Properties of Exponents [01/22/2001]
Will you please help me understand exponents?
- Question about Exponents [11/9/1994]
(2x^2 y^3)^4(-x y^2)^2 = ?
- Scientific Notation [01/16/1997]
Writing very large or very small numbers.
- Scientific Notation [03/06/1997]
I'm having a hard time writing 32,500,000,000 in scientific notation.
- Scientific Notation [08/19/1997]
Write these numbers in scientific notation: 55000, 0.55, x...
- Scientific Notation: Exponents [8/29/1996]
What do you call 0.000000000000000000000002?
- Scientific Notation, Standard Form [03/14/1997]
Write 5.2 x 10^6 in standard form.
- Square Root of a Negative Number [01/25/1997]
Is it possible to find the square root of a negative number and, if so,
to what number system do these square roots belong?
- What is an exponent? [8/8/1996]
Can you explain what an exponent is?
- Zero as an Exponent [7/15/1996]
Why does n^0 = 1?
- Zero as an Exponent [2/1/1996]
2^3 is 2 times itself 3 times or 2x2x2. But 2^0 isn't 2 times itself 0
times, is it? Can you explain 2^0 in those terms?
- Zero to the Zero Power [9/6/1995]
Since anything to the zero power is always one, then what is the correct
solution to what zero to the zero power is?
- 0.000001 to the Ninety-ninth Power Times Itself [05/19/1999]
We want to know what 0.000001 to the ninety-ninth power times 0.000001 to
the ninety-ninth power is.
- 0 Power [8/4/1996]
Why is any number to the 0 power equal to one?
- 1005! / 10^n: A Number Puzzle [9/11/1996]
Find the largest positive integer, n, such that 1005! is divisible by 10
to the power of n.
- 21^100 - Last Two Digits [09/04/1997]
What are the last two digits of 21 to the 100th power?
- 2/3 Power using a Calculator [07/05/2001]
Can -512 be the answer to the equation x^(2/3) = 64?
- 7 to the 1997th power [09/22/1997]
How would you find what the 1997th power of 7 is?
- Adding and Subtracting Radicals [03/08/2001]
How can I simplify expressions with radicals in them?
- Algebra and Exponents: -4^2 = ? [06/30/1998]
I had an argument with a professor over this topic. I say 16, he says -
- Anything to the 0 Power [11/21/1997]
Why is anything to the 0 power 1?
- Arithmetic vs. Exponential Increases [05/06/1999]
What does "....the work produced... will increase exponentially rather
than arithmetically" mean?
- Arranging Numbers by Order of Magnitude [3/25/1996]
Starting with the smallest, arrange the following numbers in increasing
order of magnitude: 6^200, 5^300, 4^400, 3^500, 2^600
- Calculators and e+ [09/27/1998]
What does the "e+" mean on a calculator?
- Code with Only a String of 1's [10/28/2002]
You need to send a numeric code to someone, such as one used to
unlock a padlock.
- Combining Positive and Negative Exponents [06/30/1999]
When you simplify exponential expressions using the power rule, how do
you combine positive and negative exponents in the numerator and
- Decimal Exponents [03/19/1999]
Find x^y, where y is a decimal, without using a calculator.
- Decimal Exponents [11/07/2001]
Can you have exponents that are decimals?
- Defining Powers of Ten [09/22/2004]
Is a power of 10 always the product of a certain number of 10s, or can
1/10 and 1/100 also be considered powers of 10?
- Dividing with Powers [01/16/2003]
I am having trouble with problems like (6.0 * 10^7)/(3.0 * 10^2).
- Doubling Bacteria [09/17/1997]
How many bacteria are in the colony?