What is (-108e^{-0.06Q})^{-1} ?

The solution to (-108e^{-0.06Q})^{-1} is -0.00925…e^{0.06Q}

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simplify (-108e^{-0.06Q})^{-1}

simplify

(- 108 e^{- 0.06 Q})^{- 1}

- 0.00925 \dots e^{0.06 Q}

Solution steps

(- 108 e^{- 0.06 Q})^{- 1}

Apply exponent rule:

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

= \frac{1}{( - 108 e ^{- 0.06 Q} )}

Apply the fraction rule:

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

= - \frac{1}{108 e ^{- 0.06 Q}}

Convert element to a decimal form

\frac{1}{108} = 0.00925 \dots

= - \frac{0.00925 \dots}{e ^{- 0.06 Q}}

Apply exponent rule:

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

e^{- 0.06 Q} = \frac{1}{e ^{0.06 Q}}

= - \frac{0.00925 \dots}{\frac{1}{e ^{0.06 Q}}}

Apply the fraction rule:

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

\frac{0.00925 \dots}{\frac{1}{e ^{0.06 Q}}} = \frac{0.00925 \dots e ^{0.06 Q}}{1}

= - \frac{0.00925 \dots e ^{0.06 Q}}{1}

Apply the fraction rule:

\frac{a}{1} = a

\frac{0.00925 \dots e ^{0.06 Q}}{1} = 0.00925 \dots e^{0.06 Q}

= - 0.00925 \dots e^{0.06 Q}

0.18 \cdot \frac{20 0 ^{3}}{32 0 ^{3}}

72 \cdot e^{- 0.029888059 \cdot \frac{11}{12}}

(3 5 - 23)^{2}

383 vu u

0.16 \cdot 1 0^{- 6 \circ} C^{- 1}

What is (-108e^{-0.06Q})^{-1} ?
The solution to (-108e^{-0.06Q})^{-1} is -0.00925…e^{0.06Q}