1. \(7^2=49\) and \(3^4=81\); thus, \(3^4>7^2\)
2. \((-3)^3=-27\) and \(3^{-3}=\dfrac{1}{3^3}=\dfrac{1}{27}\); thus, \(3^{-3}>(-3)^3\)
3. \(3^{-2}=\dfrac{1}{3^2}=\dfrac{1}{9}\); thus, \(\dfrac19>-6\)
4. \(5^0=1=(-2)^0\); thus, they are equal
5. true
6. false; they both \(=9\)
7. false; \(25\) is larger than \(1\)
8. false; \((x^2y^2)^0=1\)