Which of the following is the quotient Law of indices?

a^m/aⁿ = a^n+m if m> n

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a^m/aⁿ = a^n-m if m> n

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a^m/aⁿ = a^m+n if m> n

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a^m/aⁿ = a^m-n if m> n

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Solution

The correct option is D
a^m/aⁿ = a^m-n if m> n

When a number in exponent form is divided by another number in the exponent form (both the numbers having the same base), the smaller index (power) is subtracted from the bigger index (power) and the base is kept the same.

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Similar questions

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

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

a^{m} = a^{n}

m - n

\frac{{(a^{m} \times a^{n} \times a^{l})}^{2}}{a^{m + n} \times a^{n + l} \times a^{l + m}}

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

m > n

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