What is (4!)/((4-0)!0!) ?

The solution to (4!)/((4-0)!0!) is 1

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simplify (4!)/((4-0)!0!)

simplify

\frac{4 !}{( 4 - 0 ) ! 0 !}

1

Solution steps

\frac{4 !}{( 4 - 0 ) ! \cdot 0 !}

Subtract the numbers:

4 - 0 = 4

= \frac{4 !}{4 ! \cdot 0 !}

Cancel the common factor:

4!

= \frac{1}{0 !}

\frac{1}{0 !} = 1

= 1

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