Practice problem
Let a,b,c∈Ra,b,c \in \mathbb{R}a,b,c∈R. Which of the following are true about exponentiation?
ab=baa^b = b^aab=ba
ab⋅ab=a2ba^b \cdot a^b = a^{2b}ab⋅ab=a2b
ab⋅ab=ab2a^b \cdot a^b = a^{b^2}ab⋅ab=ab2
(ab)c=a(bc)(a^b)^c = a^{(b^c)}(ab)c=a(bc)
(ab)c=abc(a^b)^c = a^{bc}(ab)c=abc
Type a concept, like “slope” or “photosynthesis”.