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Exponent Laws Review 1

Exponent Laws - (General & Adding)

When dealing with numbers or letters that have exponents we must know the specific, "laws of exponents." before performing the operation.

First, we must recognize the basic components of a number or letter with an exponent.

For Example,

Ab

A is the base and b is the power of the exponent.

The power of the exponent means, the amount of times the base multiplies itself by itself.  For example,

  36 = 3 x 3 x 3 x 3 x 3 x 3

We must recognize some special exponent powers such as 0 & 1

When the power of an exponent is 0 the entire expression is equal to 1.

30 = 1

When the power of an exponent is 1 then the expression is equal to the base.

31 = 3

 

Adding Numbers with Exponents:

When adding numbers with exponents, two steps are involved.  First, we must solve for the expression of the exponent and then add the two results together. 

For example"

32 + 44 + 33 + 72 + 60 + 51 = ?

STEP 1: 

Find expressions of each exponent      

 9 + 256 + 27 + 49 + 1 + 5 = ?

 

STEP 2: 

Add up all the expressions

= 347

 

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