Mathematics

Problem

(a) State the quotient rule for integral exponents involving a non–zero base. (b) Using the rule stated in part (a), explain why

a^{0}=1

for any non–zero real number

a

. (c) Verify your explanation in part (b) by showing that

\frac{7^{5}\times 7^{-5}}{7^{0}}=1.