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Browse High School Exponents
Stars indicate particularly interesting answers or good places to begin browsing.

Selected answers to common questions:
    Negative exponents.
    Scientific notation.


The N'th Root [07/26/1997]
How can you find the n'th root without a calculator?






Perfect Squares and Inspection [5/23/1995]
If x^1/2 + y =11 and y^1/2 + x = 7, what are x and y?

Perfect Squares and Irrational Numbers [02/13/2002]


Polynomial Function and Exponential Growth [06/08/1999]

Power or Exponent? [10/14/2003]



Prove or Disprove that Sqrt(2) and Sqrt(4) are Irrational [6/23/1995]
I have learned the following proof that sqrt(2) is irrational...If you use this proof with sqrt(4) you can proof that sqrt(4) is irrational!!! Where did I go wrong?



Proving e is Irrational [11/19/1997]

Proving the Square Root of 3 is Irrational [12/7/1995]
I have to prove that the square root of 3 is irrational.... First we must assume that: sqrt 3 = p/q; then I have: 3 = p^2/q^2. Where do I go from there?

The Purpose of Powers [07/30/2002]


Raising Sqrt(2) [10/14/1997]

Rationalizing a Cubic Root Denominator [12/06/1997]
I am trying to rationalize the equation: 1/cubrt(9)-2.

Rationalizing the Denominator [07/20/2001]
Is it true that you must get rid of square roots in the denominator of a fraction?

Resolving Decimal Exponents [03/26/2001]
How can you find 7^.3 or 5^.6 without using a calculator? Is there more than one way of doing this?

Rule of 72 [01/26/1999]
Why does the rule of 72 work? For what interest values does it work best?

Rules of Exponent Manipulation [1/22/1996]
f sub r equals the reciprocal of ...

Rules of Exponents [10/02/1999]
Use the rules of indices to simplify the expression [(16x^2)^(1/4)* (4x^3)^(1/2)/[(27^4)^(1/3)].

Scientific Notation: Adding and Subtracting Exponents [03/21/2002]
How do you add and subtract numbers written in scientific notation form?

Scientific Notation and Engineering Notation [10/10/2001]


Show that x = 2 [08/29/2001]

Significant Figures and Scientific Notation [05/21/1997]
How do you tell how many significant figures a number has?

Simplifying Cube Roots in the Denominator [07/12/2001]
Simplify: the cube root of 3 all over the (cube root of 2) minus the (cube root of 4).

Simplifying Exponential Equations [08/19/2003]

Simplifying Expressions with Radicals [05/26/1998]
Factoring to simplify square roots in expressions such as 12*sqrt(640)/3*sqrt(5).

Simplifying Radicals [06/18/2001]

Simplifying Radicals and Exponents [9/3/1995]
A student asks how to simplify square roots and numbers with exponents.

Simplifying Square Roots [9/5/1995]
Could you help me with this problem? 1/2 *Sqrt{24}



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