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Indices

by Awer`
(US)











































Exponents

The word indices is the plural of the word index.

In mathematics the index usually refers to an exponent.

The exponent is a notation which tells how many times a base is multiplied by itself.

The exponent can be an integer, a fraction, decimal, variable, or expression.

The base can be a number or an expression.

The following expression has two indices. That means there are two exponents.

3a × 5a

Comments for Indices

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Apr 24, 2013
Exponents
by: Staff


Answer

Part I


This is an example of an exponential expression with integer base and an integer exponent


Exponent and Base





Expand Exponent






Multiplying Two Exponential Expressions, when

1. The two exponents are two different integers
2. The two base numbers are two different integers



Multiplying Two Exponential Expressions, when 
 1.  The two exponents are two different integers 
 2.  The two base numbers are two different integers





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Apr 24, 2013
Exponents
by: Staff


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Part II


Multiplying Two Exponential Expressions, when

1. The two exponents are the same integer
2. The two base numbers are two different integers


Multiplying Two Exponential Expressions, when 
 1.  The two exponents are the same integer 
 2.  The two base numbers are two different integers





Multiplying Two Exponential Expressions - Rewriting the entire expression so there is only one base , when

1. The two exponents are the same integer
2. The two base numbers are two different integers


Multiplying Two Exponential Expressions - Rewriting the entire expression so there is only one base, when 
 1.  The two exponents are the same integer 
 2.  The two base numbers are two different integers






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Apr 24, 2013
Exponents
by: Staff


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Part III


Note that the result = 3375 in both cases. Rewriting the expression

33 × 53 as (3 × 5)3 or (15)3 does not change the results.


Your problem can be approached in exactly the same way.

Multiplying Two Exponential Expressions - Rewriting the entire expression so there is only one base , when

1. The two exponents are the same variable
2. The two base numbers are two different integers



Multiplying Two Exponential Expressions - Rewriting the entire expression so there is only one base, when 
 1.  The two exponents are the same variable 
 2.  The two base numbers are two different integers





the final answer to your question is:

Final Answer - Rewriting the entire expression so there is only one base, when 
 1.  The two exponents are the same variable 
 2.  The two base numbers are two different integers









Thanks for writing.

Staff
www.solving-math-problems.com


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