Trying to check my son's homework

[dbush]

Here are two problems I would like to see if you agree with my answer
Simplify:

(-x)²(-x²)³(-x)³

My answer is -x¹¹... agree?

(-2)⁰ (3x^-2y^-2)^-1

My answer 1/3 x²y²...agree?

Thank you!

 

[dbush]

Many thanks!

 

[srmichael]

Here are two problems I would like to see if you agree with my answer
Simplify:

(-x)²(-x²)³(-x)³

My answer is -x¹¹... agree?

(-2)⁰ (3x^-2y^-2)^-1

My answer 1/3 x²y²...agree?

Thank you!

Let's revisit the first problem above:

\(\displaystyle \displaystyle (-x)^2(-x^2)^3(-x)^3\)

\(\displaystyle \displaystyle (-1)^2x^2(-1)^3x^6(-1)^3x^3\)

\(\displaystyle \displaystyle (x^2)(-x^6)(-x^3)\)

\(\displaystyle \displaystyle x^{11}\)