What is l^{-1}(1/(sqrt(s))) ?

The solution to l^{-1}(1/(sqrt(s))) is 1/(lsqrt(s))

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simplify l^{-1}(1/(sqrt(s)))

simplify

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

\frac{1}{l s}

Solution steps

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

Apply rule:

(a) = a

(\frac{1}{s}) = \frac{1}{s}

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

Apply exponent rule:

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

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

= \frac{1}{l} \cdot \frac{1}{s}

Apply the fraction rule:

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

= \frac{1 \cdot 1}{l s}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{l s}

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What is l^{-1}(1/(sqrt(s))) ?
The solution to l^{-1}(1/(sqrt(s))) is 1/(lsqrt(s))