(2a4)2 = ?
(2a^4)^2
= 4a^8
thank you so much
To solve the expression (2a4)2, let's break it down step by step:
Step 1: Simplify the expression within the parentheses.
In this case, we have 2a4. To simplify this, we need to multiply 2 and a4 separately. Multiplying 2 and a gives us 2a, and multiplying 4 gives us 4. So, the expression simplifies to 2a * 4.
Step 2: Multiply the simplified expression by itself.
We need to square the simplified expression, which means multiplying it by itself. So, we have (2a * 4)2.
Step 3: Simplify the expression further.
To simplify (2a * 4)2, we need to perform the multiplication inside the parentheses first.
2a * 4 = 8a. So, now we have (8a)2.
Step 4: Square the simplified expression.
To square (8a), we multiply it by itself.
(8a)2 = (8a) * (8a) = 8a * 8a.
Step 5: Multiply the coefficients and combine the variables.
Multiplying the coefficients gives us 8 * 8 = 64.
For the variables, a * a = a^2.
So, the final answer is 64a^2.