What is l^{-1}*(3/((s^5))) ?

The solution to l^{-1}*(3/((s^5))) is 3/(ls^5)

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simplify l^{-1}*(3/((s^5)))

simplify

l^{- 1} \cdot (\frac{3}{( s ^{5} )})

\frac{3}{l s ^{5}}

Solution steps

l^{- 1} (\frac{3}{s ^{5}})

Apply rule:

(a) = a

(\frac{3}{s ^{5}}) = \frac{3}{s ^{5}}

= l^{- 1} \frac{3}{s ^{5}}

Apply exponent rule:

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

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

= \frac{1}{l} \cdot \frac{3}{s ^{5}}

Apply the fraction rule:

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

= \frac{1 \cdot 3}{l s ^{5}}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{3}{l s ^{5}}

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