Algebra
# Negative and Rational Exponents

Which of the following is equal to $\large \frac{ x^{-2} } { x ^ { -6}}$?

Simplify

$\left( 2 x^2 y^2 \right)^3 x^{-4} y^3.$

Simplify

$\frac{4x^{-5}y^{-3}\cdot 3x^3 y^{-2}}{ 6x^{-5} y^3}.$

If $a + a^{-1} = 3$, evaluate

$a^4 + a^{-4}.$

Which of the following is equal to $\Large \frac{x^4}{x^{-8}}$?