1. a) multiplication: \(x^a\cdot x^b=x^{a+b}\)
b) power of a power: \(\left(x^a\right)^b=x^{ab}\)
\(\left(x^a\right)^b=x^{ab}\) c) division: \(\frac{x^a}{x^b}=x^{a-b}\)
d) power of a product: \(\left(x\cdot y\right)^a=x^a\cdot y^a\)
\(\left(x\cdot y\right)^a=x^a\cdot y^a\)
2. a) The surface area will increase by a factor of 16: \(4\pi\left(4r\right)^2=16\left(4\pi r^2\right)\)
\(4\pi\left(4r\right)^2=16\left(4\pi r^2\right)\)