What is (1+s/(100))(1+s/(1000))(1+s/(10000)) ?

The solution to (1+s/(100))(1+s/(1000))(1+s/(10000)) is ((100+s)(1000+s)(10000+s))/(1000000000)

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simplify (1+s/(100))(1+s/(1000))(1+s/(10000))

simplify

(1 + \frac{s}{100}) (1 + \frac{s}{1000}) (1 + \frac{s}{10000})

\frac{( 100 + s ) ( 1000 + s ) ( 10000 + s )}{1000000000}

Solution steps

(1 + \frac{s}{100}) (1 + \frac{s}{1000}) (1 + \frac{s}{10000})

Join

1 + \frac{s}{100} : \frac{100 + s}{100}

= \frac{100 + s}{100} (1 + \frac{s}{1000}) (1 + \frac{s}{10000})

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{( 100 + s ) ( 1 + \frac{s}{1000} ) ( 1 + \frac{s}{10000} )}{100}

Simplify

(100 + s) (1 + \frac{s}{1000}) (1 + \frac{s}{10000}) : \frac{( 100 + s ) ( 1000 + s ) ( 10000 + s )}{10000000}

= \frac{\frac{( 100 + s ) ( 1000 + s ) ( 10000 + s )}{10000000}}{100}

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

= \frac{( 100 + s ) ( 1000 + s ) ( 10000 + s )}{10000000 \cdot 100}

Multiply the numbers:

10000000 \cdot 100 = 1000000000

= \frac{( 100 + s ) ( 1000 + s ) ( 10000 + s )}{1000000000}

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What is (1+s/(100))(1+s/(1000))(1+s/(10000)) ?
The solution to (1+s/(100))(1+s/(1000))(1+s/(10000)) is ((100+s)(1000+s)(10000+s))/(1000000000)