## Thinking Mathematically (6th Edition)

False A corrected statement would be: $5^2 \cdot 5^{-2} = 2^{5} \cdot 2^{-5}$
The statement is false because: $5^2 \cdot 5^{-2} = 5^0 = 1$ $2^{5} \cdot 2^{-5} = 2^0 = 1$ Thus, $5^2 \cdot 5^{-2} = 2^{5} \cdot 2^{-5}$