What is l^{-1}*{(24)/(((s-1)^5))} ?

The solution to l^{-1}*{(24)/(((s-1)^5))} is (24)/(l(s-1)^5)

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simplify l^{-1}*{(24)/(((s-1)^5))}

simplify

l^{- 1} \cdot ⎩ ⎨ ⎧ \frac{24}{( ( s - 1 ) ^{5} )} ⎭ ⎬ ⎫

\frac{24}{l ( s - 1 ) ^{5}}

Solution steps

l^{- 1} (\frac{24}{( s - 1 ) ^{5}})

Apply rule:

(a) = a

(\frac{24}{( s - 1 ) ^{5}}) = \frac{24}{( s - 1 ) ^{5}}

= l^{- 1} \frac{24}{( s - 1 ) ^{5}}

Apply exponent rule:

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

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

= \frac{1}{l} \cdot \frac{24}{( s - 1 ) ^{5}}

Apply the fraction rule:

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

= \frac{1 \cdot 24}{l ( s - 1 ) ^{5}}

Multiply the numbers:

1 \cdot 24 = 24

= \frac{24}{l ( s - 1 ) ^{5}}

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What is l^{-1}*{(24)/(((s-1)^5))} ?
The solution to l^{-1}*{(24)/(((s-1)^5))} is (24)/(l(s-1)^5)