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Here are some tips for Simplifying Algebraic Expressions 2, which aligns with New York state standards:

Simplifying Algebraic Expressions 2


To do well in this topic, you need to know exponents.
To review basic exponents, see here.
To review the Multiplying and Dividing Exponent Expressions topic, see here.


Example 1: Multiplying

Simplify the following. Expand to the form ab^c where a and c are numeric and b is a variable name.
-8n-3 × 4n-5

-8n-3 × 4n-5 = -8n-3 × 4n-5
  = -32n( -3 + -5 )
  = -32n-8
The answer is


Example 2: Exponents

Simplify the following. Expand to the form ab^c where a and c are numeric and b is a variable name.
(-5f-3)2

(-5f-3)2 = (-5)2(f-3)2 = 25f-6

The answer is


Example 3: Square Roots

Simplify the following. Expand to the form ab^c where a and c are numeric and b is a variable name.
    81f 10  

    81f 10 =     81     f 10 =     9 2     (f 5)2 = 9f 5

The answer is

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