For any non zero integers a and b, a^n/b^n=(a/b)^n, where 'n' is any integer. For example, 2^ 2/ 3^ 2=( 2/3)^ 2 ...

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Quotient Law

an/bn=

Question

$\frac{a^{n}}{b^{n}} =$ _____

(\frac{a}{b})^{n}

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(\frac{a}{b})^{- n}

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\frac{a^{n}}{b}

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\frac{a}{b^{n}}

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Solution

The correct option is A $(\frac{a}{b})^{n}$
For any non-zero integers a and b,
$\frac{a^{n}}{b^{n}} = (\frac{a}{b})^{n}$ ,
where 'n' is any integer.
For example,
$\frac{2^{- 2}}{- 3^{- 2}} = (- \frac{2}{3})^{- 2}$

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A

B

I

A B = B A

A^{n} - B^{n}

n

A^{n} - B^{n} = A^{n + 1} - B^{n + 1} = A^{n + 2} - B^{n + 2}

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