76.5k views
0 votes
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.

Simplify (3a 2) 3.

.

User Alobodzk
by
5.1k points

1 Answer

7 votes

Answer:
27a^6

Explanation:

The question is not clear. So, assuming that the expression you need to simplify is this one:


(3a^2)^3

You need to remember a property called "Power of a power property". This property states the following:


(b^m)^n=b^((m*n))=b^((mn))

Therefore, you need to apply the Power of a power property explained before, in order to simplify the expression provided in the exercise, multiplying the exponents inside the parentheses by the exponent outside of the parentheses. Then:


(3a^2)^3=3^((1*3))a^((2*3))=3^3a^6

Now, you must remember that:


3^3=3*3*3=27

Finally, you get:


=27 a^6

User Himanshu P
by
5.7k points