What is e^{3t}(t+1)^{-1/2} ?

The solution to e^{3t}(t+1)^{-1/2} is (e^{3t})/((t+1)^{1/2)}

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simplify e^{3t}(t+1)^{-1/2}

simplify

e^{3 t} (t + 1)^{- \frac{1}{2}}

\frac{e ^{3 t}}{( t + 1 ) ^{\frac{1}{2}}}

Solution steps

e^{3 t} (t + 1)^{- \frac{1}{2}}

Apply exponent rule:

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

= e^{3 t} \frac{1}{( t + 1 ) ^{\frac{1}{2}}}

Multiply fractions:

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

= \frac{1 \cdot e ^{3 t}}{( t + 1 ) ^{\frac{1}{2}}}

Multiply:

1 \cdot e^{3 t} = e^{3 t}

= \frac{e ^{3 t}}{( t + 1 ) ^{\frac{1}{2}}}

(2 x - 4 x - 3)^{4}

(\frac{144}{36})^{2}

15 d^{15} e^{15} f^{2} \cdot 5 d^{5} e^{5} f

- y^{2}

\frac{2 \cdot 400 \cdot 300 \cdot 500}{5 \cdot 400 \cdot ( 1 - \frac{400}{1} )}

What is e^{3t}(t+1)^{-1/2} ?
The solution to e^{3t}(t+1)^{-1/2} is (e^{3t})/((t+1)^{1/2)}