What is (e^{(-1/100*53)})^2(e^{(-1/135*53)})^3 ?

The solution to (e^{(-1/100*53)})^2(e^{(-1/135*53)})^3 is 1/(e^{1007/450)}

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simplify (e^{(-1/10053)})^2(e^{(-1/13553)})^3

simplify

(e^{(- \frac{1}{100} \cdot 53)})^{2} (e^{(- \frac{1}{135} \cdot 53)})^{3}

\frac{1}{e ^{\frac{1007}{450}}}

Decimal Notation

0.10669 \dots

Solution steps

(e^{(- \frac{1}{100} \cdot 53)})^{2} (e^{(- \frac{1}{135} \cdot 53)})^{3}

(e^{- \frac{1}{100} \cdot 53})^{2} : e^{- \frac{53}{50}}

= e^{- \frac{53}{50}} (e^{- \frac{1}{135} \cdot 53})^{3}

(e^{- \frac{1}{135} \cdot 53})^{3} : e^{- \frac{53}{45}}

= e^{- \frac{53}{50}} e^{- \frac{53}{45}}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{- \frac{53}{50}} e^{- \frac{53}{45}} = e^{- \frac{53}{50} - \frac{53}{45}}

= e^{- \frac{53}{50} - \frac{53}{45}}

Join

- \frac{53}{50} - \frac{53}{45} : - \frac{1007}{450}

= e^{- \frac{1007}{450}}

Apply exponent rule:

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

= \frac{1}{e ^{\frac{1007}{450}}}

(\frac{9}{16})^{\frac{1}{4}} l e f t (\frac{9}{16})^{- 1} (\frac{9}{16})^{\frac{3}{4}}

(7 x^{5}) (8 x)

3.45 \cdot 1 0^{- 3}

3

7.5 \cdot \frac{1 0 ^{- 27}}{0.25} \cdot 1 0^{- 29}

What is (e^{(-1/100*53)})^2(e^{(-1/135*53)})^3 ?
The solution to (e^{(-1/100*53)})^2(e^{(-1/135*53)})^3 is 1/(e^{1007/450)}