Mathematics

Problem

Which of the following statements is always true for any positive real number

a

and integers

m,n

? a)

(a^{m})^{n}=a^{mn}

(a^{m})^{n}=a^{m+n}

a^{m}\times a^{n}=a^{m-n}

\dfrac{a^{m}}{a^{n}}=a^{mn}