Which of the following are true

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

, if m>n

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

, if n>m

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\frac{a^{m}}{a^{n}} = \frac{1}{a^{n - m}}

, if n>m

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\frac{a^{m}}{a^{n}} = \frac{1}{a^{n - m}}

, if m>n

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Solution

The correct options are
A $\frac{a^{m}}{a^{n}} = a^{m - n}$ , if m>n
C $\frac{a^{m}}{a^{n}} = \frac{1}{a^{n - m}}$ , if n>m
By the Laws of Exponents
$\frac{a^{m}}{a^{n}} = a^{m - n}$ , if m>n
$\frac{a^{m}}{a^{n}} = \frac{1}{a^{n - m}}$ , if n>m

Suggest Corrections

Similar questions

$\frac{a^{m}}{a^{n}}$ = $a^{m - n}$ , m>n

\frac{1}{m} log (1 + a^{m}) < \frac{1}{n} log (1 + a^{n})

m > n

l i m x \to a \frac{x^{m} - a^{m}}{x^{n} - a^{n}} = \frac{m}{n} a^{m - n}

A_{i} = \frac{x - a_{i}}{| x - a_{i} |}, i = 1, 2, . . . . ., n,

a_{1} < a_{2} < a_{3} < . . . . . < a_{n} .

1 \leq m \leq n, m \in N,

R = lim x \to a_{m}^{+} (A_{1} A_{2} . . . . A_{n})

a^{m} = a^{n}

m - n

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