Your Computer's Calculator  
This is not a chainlogic calculator and not a scientific calculator. It has features of each of these. Some pages are required reading before completion of this page.

Representing Powers  
2³ = 2 · 2 · 2 = 8 The phrase "two to the third power" or "two cubed" has a base of 2, an exponent of 3, and means that 2 is used as a factor 3 times. When math is typed on one line rather than written by hand, 2³ is sometimes written as 2^3 where the caret seperates the base from the exponent so the expression translates as "2 to the 3rd power." More sophisticated calculators use the following buttons to exponentiate quickly.
Less sophisticated calculators which do not have any of these keys often have features built into the calculator to facilitate quick exponential computation. Your computer's calculators is one of the less sophisticated types but easily computes integral powers. 
The Powers of A Number  
Here the contant feature is used to display the powers of a number.
Next, please visit the The Powers of Ten Page and then, Reciprocal's on Your Computer's Calculator. 
The Powers of A Number Revisited  
Now that you have reviewed the basics through the material above on this page and the Powers of Ten Page, consider the bigger picture. The constant feature on your calculator permits you, with thought, to compute any integral  integer type  power of any base. But, for these below, the calculator is not necessary  just your thoughts are necessary. Analyse the next example, fill in the missing info, verify your answer.



A Number totheZero. totheOne, totheNegativeOne  
Three powers of a number are crutial to mental conputation and understanding of more sophisticated concepts such as algebraic computation involving exponents and logs. They are: 

A Number Raised to 1 Power is That Number. 

A Number Raised to 0 Power is One, for all nonzero numbers. 

A Number Raised to 1 Power is That Number's Reciprocal, for all nonzero numbers. 

With the above in mind, simplify and check your answer. Though these questions look easy, THIS IS A VERY DIFFICULT SET OF QUESTIONS! 

Continue on to the next page or return to page 7 of FINALLY PLEASE READILY EXCUSE MY DEAR AUNT SALLY, Lesson c80. 
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