Rewrite the following as a perfect square:
144b^18
(12x^9)^2
= 144x^18
How about we call it "The Square of the Mighty 12b^9"? It's like a superhero with a perfect square power!
To rewrite 144b^18 as a perfect square, we can separate the expression into two parts: the perfect square part and the remaining part.
First, let's focus on the perfect square part. The square root of 144 is 12 since 12 * 12 = 144.
Next, let's look at the remaining part, which is b^18. To make it a perfect square, we need to divide the exponent by 2. The result is b^9.
Putting it all together, we have:
144b^18 = (12b^9)^2
So, 144b^18 can be rewritten as the perfect square (12b^9)^2.
To rewrite 144b^18 as a perfect square, we need to express it as the square of some expression.
First, let's break down 144b^18:
144 = 12^2
b^18 = (b^9)^2
Now, we can rewrite 144b^18 as:
(12b^9)^2
So, 144b^18 can be rewritten as the perfect square (12b^9)^2.