What is 4e^{-3(-2)5}(-2)^2(-3)^2 ?

The solution to 4e^{-3(-2)5}(-2)^2(-3)^2 is 144e^{30}

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simplify 4e^{-3(-2)5}(-2)^2(-3)^2

simplify

4 e^{- 3 (- 2) 5} (- 2)^{2} (- 3)^{2}

144 e^{30}

Decimal Notation

1.53885 E 15

Solution steps

4 e^{- 3 (- 2) \cdot 5} (- 2)^{2} (- 3)^{2}

Apply exponent rule:

a^{m} b^{m} = (ab)^{m}

(- 2)^{2} (- 3)^{2} = ((- 2) (- 3))^{2}

= 4 e^{- 3 (- 2) \cdot 5} ((- 2) (- 3))^{2}

(- 2) (- 3) = 6

= 6^{2} \cdot 4 e^{- 3 (- 2) \cdot 5}

Apply rule

- (- a) = a

= 4 e^{3 \cdot 2 \cdot 5} \cdot 6^{2}

Multiply the numbers:

3 \cdot 2 \cdot 5 = 30

= 6^{2} \cdot 4 e^{30}

6^{2} = 36

= 4 \cdot 36 e^{30}

Multiply the numbers:

4 \cdot 36 = 144

= 144 e^{30}

- e^{- θ} \cdot \frac{1}{2}

4.9 \cdot 1 0^{- 6}

- 3 (3 \frac{2}{7})

- 30 e^{- 5 \cdot 0.42}

- 3.522 \cdot 1 0^{- 2}

What is 4e^{-3(-2)5}(-2)^2(-3)^2 ?
The solution to 4e^{-3(-2)5}(-2)^2(-3)^2 is 144e^{30}