Simplify (LT^-1)^2

${(L T^{- 1})}^{2}$

Step 1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

${(L \frac{1}{T})}^{2}$

Step 2

Combine $L$ and $\frac{1}{T}$ .

${(\frac{L}{T})}^{2}$

Step 3

Apply the product rule to $\frac{L}{T}$ .

$\frac{L^{2}}{T^{2}}$