What is (-3xy)e^2(-2xe^2y)e^3 ?

The solution to (-3xy)e^2(-2xe^2y)e^3 is 6e^7x^2y^2

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simplify (-3xy)e^2(-2xe^2y)e^3

simplify

(- 3 x y) e^{2} (- 2 x e^{2} y) e^{3}

6 e^{7} x^{2} y^{2}

Solution steps

(- 3 x y) e^{2} (- 2 x e^{2} y) e^{3}

Apply exponent rule:

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

e^{2} e^{3} = e^{2 + 3}

= (- 3 x y) (- 2 x e^{2} y) e^{2 + 3}

Add the numbers:

2 + 3 = 5

= (- 3 x y) (- 2 x e^{2} y) e^{5}

Remove parentheses:

(- a) = - a, - (- a) = a

= 3 x y \cdot 2 x e^{2} y e^{5}

Multiply the numbers:

3 \cdot 2 = 6

= 6 e^{5} e^{2} xx yy

Apply exponent rule:

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

e^{2} e^{5} = e^{2 + 5}

= 6 x y x y e^{2 + 5}

Add the numbers:

2 + 5 = 7

= 6 x y x y e^{7}

Apply exponent rule:

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

xx = x^{1 + 1}

= 6 y x^{1 + 1} y e^{7}

Add the numbers:

1 + 1 = 2

= 6 y x^{2} y e^{7}

Apply exponent rule:

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

yy = y^{1 + 1}

= 6 x^{2} y^{1 + 1} e^{7}

Add the numbers:

1 + 1 = 2

= 6 x^{2} y^{2} e^{7}

2.93 e^{(- 1.8 (0))}

(5 p^{5}) (3 p^{4})

(11 m n^{2}) x (2 m^{3} n^{2})

0.003451 \cdot 1 0^{- 9}

25.132 \cdot 1 0^{- 1}

What is (-3xy)e^2(-2xe^2y)e^3 ?
The solution to (-3xy)e^2(-2xe^2y)e^3 is 6e^7x^2y^2