Simplify the expression below
(5n^3)^2
5n^5.
Next time, read the problem a little more carefully, because this is not that hard to solve.
Actually, you are supposed to multiply 3 and 2, not add them. Also, you square 5.
The answer is 25n^6.
I know, but I wanted to see if they caught the mistake, because I don't just GIVE people answers. I asked this person for their answer in the past, but they refused, so I am just trying to teach them a lesson that they should not cheat on test assignments... that's right... I know... I had this question on a test with connections academy. you do realize that you can get in BIG trouble for cheating, right?
That question is fairly general; it might not be from a CA test.
To simplify the expression (5n^3)^2, we need to apply the rule of exponents.
The rule states that when we raise a power to another power, we multiply the exponents.
In this case, the exponent 2 is being applied to the entire expression within the parentheses (5n^3).
So, we need to multiply the exponent 2 by each exponent within the parentheses.
Starting with the constant term, 5, we have 5^2 = 25.
Next, we multiply the exponents of n, which is n^3. 3 * 2 = 6, so we have n^6.
Therefore, the simplified expression is 25n^6.