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Popular >

simplify (x^{a-1})/(x^a)

Solution

simplify

\frac{x ^{a - 1}}{x ^{a}}

Solution

\frac{1}{x}

Solution steps

\frac{x ^{a - 1}}{x ^{a}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

= x^{a - 1 - a}

Simplify

a - 1 - a : - 1

= x^{- 1}

Apply exponent rule:

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

= \frac{1}{x}

Popular Examples

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\frac{12 k ^{7}}{( 4 k ) ^{4}}

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\frac{3}{5} + \frac{1}{7}

Frequently Asked Questions (FAQ)

What is (x^{a-1})/(x^a) ?
The solution to (x^{a-1})/(x^a) is 1/x