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Popular >

simplify ((n+1)!^k)/((n!)^k)

Solution

simplify

\frac{( n + 1 ) ! ^{k}}{( n ! ) ^{k}}

Solution

(n + 1)^{k}

Solution steps

\frac{( n + 1 ) ! ^{k}}{( n ! ) ^{k}}

Apply exponent rule:

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

\frac{( n + 1 ) ! ^{k}}{n ! ^{k}} = (\frac{( n + 1 ) !}{n !})^{k}

= (\frac{( n + 1 ) !}{n !})^{k}

\frac{( n + 1 ) !}{n !} = n + 1

= (n + 1)^{k}

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Frequently Asked Questions (FAQ)

What is ((n+1)!^k)/((n!)^k) ?
The solution to ((n+1)!^k)/((n!)^k) is (n+1)^k