Please help me simplify these Math problem?

Question

When a=3:

1)3a to the 2 power

2)(3a) to the two power

the differences between the two problem is one have the power after the a, and the other one have the close parenthesis first then the a. Does it arrive with the same answer? Please noted that when you give me the answer, number the problem

Answer 1

3a^2 only raises the variable. if a = 3, 3a^2 = 3 * 3^2 = 3 * 9 = 27

(3a)^2 raises the constant and the variable.
If a = 3 again, (3a)^2 = (3 * 3 )^2 = (9)^2 = 81.

Answer 2

It is called the "order of operations." It basically means, when formula is written all in one like this, which one you need to do first.

The formula 3*3^2 (1) is done by 3^2 first. Which makes the formula to read: 3*9 which is 27.

(3a)^2 (2) is done by 3*3 first, then ^2. The first part will be 9. 9^2 is 81.

Try reading up on order of operations. power first, multiplication/division next, then addition subtraction last.

Answer 3

1) 3a to the 2nd power is 3 times a squared, meaning 3 times a times a. So it equals 27.

2) (3a) to the second power means 3a times 3a. It equals 81.

Answer 4

They are the same. 3*3=9, 9^2=81

Answer 5

Not the same answer. Not sure how I got it, but answer 2 is much much higher. Never was good at 'showing my work'. I should've paid more attention in class.

Answer 6

Jason is correct. Ignore the other idiots.

Answer 7

1. 3*3*a*a
2. 3*a*a