What is (t+100)^{-2}[0.4(t+100)^3+c] ?

The solution to (t+100)^{-2}[0.4(t+100)^3+c] is (0.4(t+100)^3+c)/((t+100)^2)

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simplify (t+100)^{-2}[0.4(t+100)^3+c]

simplify

(t + 100)^{- 2} [0.4 (t + 100)^{3} + c]

\frac{0.4 ( t + 100 ) ^{3} + c}{( t + 100 ) ^{2}}

Solution steps

(t + 100)^{- 2} (0.4 (t + 100)^{3} + c)

Apply exponent rule:

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

(t + 100)^{- 2} = \frac{1}{( t + 100 ) ^{2}}

= \frac{1}{( t + 100 ) ^{2}} (0.4 (t + 100)^{3} + c)

Apply the fraction rule:

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

= \frac{1 \cdot ( 0.4 ( t + 100 ) ^{3} + c )}{( t + 100 ) ^{2}}

Apply rule:

1 \cdot a = a

1 \cdot (0.4 (t + 100)^{3} + c) = (0.4 (t + 100)^{3} + c)

= \frac{0.4 ( t + 100 ) ^{3} + c}{( t + 100 ) ^{2}}

5 \cdot 1 0^{- 5} \cdot 35.31

800 \frac{1}{2} e^{- 0.0244 (t)}

1.381 \cdot 1 0^{- 23} \cdot (ln (0.554) - ln (1))

- e^{- s i n (x)}

What is (t+100)^{-2}[0.4(t+100)^3+c] ?
The solution to (t+100)^{-2}[0.4(t+100)^3+c] is (0.4(t+100)^3+c)/((t+100)^2)