What is e^{(-3)^3-27(-3)} ?

The solution to e^{(-3)^3-27(-3)} is e^{54}

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simplify e^{(-3)^3-27(-3)}

simplify

e^{(- 3)^{3} - 27 (- 3)}

e^{54}

Solution steps

e^{(- 3)^{3} - 27 (- 3)}

Apply rule

- (- a) = a

= e^{(- 3)^{3} + 27 \cdot 3}

Apply exponent rule:

(- a)^{n} = - a^{n},

n

is odd

(- 3)^{3} = - 3^{3}

= e^{- 3^{3} + 27 \cdot 3}

Multiply the numbers:

27 \cdot 3 = 81

= e^{- 3^{3} + 81}

3^{3} = 27

= e^{- 27 + 81}

Add/Subtract the numbers:

- 27 + 81 = 54

= e^{54}

\frac{5 ^{n}}{5 ^{n + 1}}

5 m + 3 m

3 x (4 x - 5)

4 x \times 4

8. 8^{2}