Question

(6x^-2)^2(0.5x)^4
I dont want a direct answer, please help explain it to me.

Answer 1

@dan815

Answer 2

will medal

Answer 3

I have tried to solve it and so far I have: 36x^-4

Answer 4

\(\large (6x^{-2})^2(0.5x)^4\)

You need to know the rules of exponents.
Here are a few you need for this problem.

\((ab)^m = a^mb^m\)

\((a^m)^n = a^{mn} \)

Answer 5

Start with the left parentheses.
You have \(6x^{-2} \) raised to the second power.
Use the first rule.
To raise a product to a power, raise each factor of the product to the power.

Answer 6

so 6^2(x^-2)^2

Answer 7

Can you work on the left parentheses and show me what you get?
6x^(-2) is the product of 6 and x^(-2)
That product is being raised to the 2nd power.
Raise each factor to the 2nd power.
Raise 6 to the second power and raise x^-2 to the second power.

Answer 8

Oh, I see.
Correct.

Answer 9

whew glad i got something right today. lol

Answer 10

Now look at the second set of parentheses.
Again, you have a product raised to a power.
Raise each factor to the power.

Answer 11

so : (0.5^4x^4)^4 ?

Answer 12

Since you are raising each factor to the power, you don't raise the entire thing to the power again.
It's just (0.5)^4(x^4)

Answer 13

Oh! ok