Answer:
Incorrect
Step-by-step explanation:
Law of Exponent:
[tex] \displaystyle \large{ \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} }[/tex]
Substitute a = 5, m = -1 and n = 1.
[tex] \displaystyle \large{ \frac{ {5}^{ - 1} }{ {5}^{1} } = {5}^{ - 1 - 1} } \\ \displaystyle \large{ \frac{ {5}^{ - 1} }{ {5}^{1} } = {5}^{ - 2} }[/tex]
Therefore, Josh is wrong because Josh misused the law of exponent. What Josh used was a^m × a^n = a^{m+n}.
