If a,b are real numbers and m,nm,n are whole numbers, then \(\begin{array}{lrll} \textbf{Product Property} & a^{m} \cdot a^{n} &=&a^{m+n} \\\textbf{Power Property} & \left(a^{m}\right)^{n} &=&a^{m \cd...If a,b are real numbers and m,nm,n are whole numbers, then \(\begin{array}{lrll} \textbf{Product Property} & a^{m} \cdot a^{n} &=&a^{m+n} \\\textbf{Power Property} & \left(a^{m}\right)^{n} &=&a^{m \cdot n} \\\textbf{Product to a Power} & (a b)^{m} &=&a^{m} b^{m} \\ \textbf{Quotient Property} & \dfrac{a^{m}}{a^{n}} &=&a^{m-n}, a \neq 0, m>n \\ & \dfrac{a^{n}}{a^{n}} &=&1, a \neq 0, n>m \\\textbf{Zero Exponent Definition} &a^0&=&1,a\neq 0 \\\textbf{Quotient to a Power Property} & \left(\dfrac{a}{…
