For a non-zero real number and integers

MATHEMATICS · Single correct · CBSE · Mathematics · Number Systems · Number Systems

Problem

For a non-zero real number

a

and integers

m,n

, which of the following correctly states the law known as the “quotient of powers”? (a)

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

(b)

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

(c)

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

(d)

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