Using Laws of Exponents - Simplify (2A)^5*A^5

by Kelvin




Question
Use the Laws of Exponents to simplify: (2A)^5*A^5
Answer
Below are the steps to simplify the expression
(2A)5×A5:

(2A)5 × A5First, we have to remove the brackets in (2A)5
= (32A5)× A5
To do so, we use the law:
          (ab)n = anbn
Hence, we have:
         (2A)5 = 25A5
                 = 32A5

= 32 × A5 × A5
Next, we simplify A5 × A5

= 32 × A10
To do so, we use the law:
          an × ab = aa + b
Hence, we have:
       A5 × A5 = A5+5
                   = A10

= 32A10
This is the simplified expression.






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