What is ML^{-3}(d/(dT)(L^3)) ?

The solution to ML^{-3}(d/(dT)(L^3)) is (M d/(dT)(L^3))/(L^3)

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simplify ML^{-3}(d/(dT)(L^3))

simplify

M L^{- 3} (\frac{d}{d T} (L^{3}))

\frac{M \frac{d}{d T} ( L ^{3} )}{L ^{3}}

Solution steps

M L^{- 3} (\frac{d}{d T} (L^{3}))

Apply exponent rule:

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

= \frac{1}{L ^{3}} M \frac{d}{d T} (L^{3})

Multiply fractions:

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

= \frac{1 \cdot M \frac{d}{d T} ( L ^{3} )}{L ^{3}}

Multiply:

1 \cdot M = M

= \frac{M \frac{d}{d T} ( L ^{3} )}{L ^{3}}

6 x + 7 x x

2.83 \cdot 1 0^{- 9}

(6 a^{4} b c^{2}) (7 a^{4} b^{3} c)

(1 - 2 x)^{- 4}

49 \cdot 3000 0^{- 0.07578}

What is ML^{-3}(d/(dT)(L^3)) ?
The solution to ML^{-3}(d/(dT)(L^3)) is (M d/(dT)(L^3))/(L^3)