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Popular >

simplify e^{-1/3 (4.5)}

Solution

simplify

e^{- \frac{1}{3} (4.5)}

Solution

0.22313 \dots

Solution steps

e^{- \frac{1}{3} (4.5)}

Apply exponent rule:

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

= \frac{1}{e ^{4.5 \cdot \frac{1}{3}}}

e^{\frac{1}{3} \cdot 4.5} = e^{1.5}

= \frac{1}{e ^{1.5}}

e^{1.5} = 4.48168 \dots

= \frac{1}{4.48168 \dots}

Divide the numbers:

\frac{1}{4.48168 \dots} = 0.22313 \dots

= 0.22313 \dots

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Frequently Asked Questions (FAQ)

What is e^{-1/3 (4.5)} ?
The solution to e^{-1/3 (4.5)} is 0.22313…