What is (2x^3y)(5xy^2)(3xy) ?

The solution to (2x^3y)(5xy^2)(3xy) is 30x^5y^4

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simplify (2x^3y)(5xy^2)(3xy)

simplify

(2 x^{3} y) (5 x y^{2}) (3 x y)

30 x^{5} y^{4}

Solution steps

(2 x^{3} y) (5 x y^{2}) (3 x y)

Apply exponent rule:

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

x^{3} xx = x^{3 + 1 + 1}

= 2 y \cdot 5 y^{2} \cdot 3 x^{3 + 1 + 1} y

Add the numbers:

3 + 1 + 1 = 5

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

Apply exponent rule:

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

y y^{2} y = y^{1 + 2 + 1}

= 2 \cdot 5 \cdot 3 x^{5} y^{1 + 2 + 1}

Add the numbers:

1 + 2 + 1 = 4

= 2 \cdot 5 \cdot 3 x^{5} y^{4}

Multiply the numbers:

2 \cdot 5 \cdot 3 = 30

= 30 x^{5} y^{4}

x \cdot e^{- 2}

e^{- l n (k)}

(5 x^{4} y^{2} w) (17 x y^{7} w^{2})

e^{- tφ (λ)}

e^{x} - 2 e^{- x} + 2 \cdot e^{x} - 2 e^{- x}