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.






Click here to post comments

Join in and write your own page! It's easy to do. How? Simply click here to return to Exponents Library.

iPod Touch & iPhone
iPad
Graphs & Equations
Algebra
Exponents
Symmetry
Fractions
Measurements
Interest
Angles
Triangles
Useful Resources