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

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

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

simplify

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

30 x^{3} y^{4} z^{2}

Solution steps

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

Apply exponent rule:

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

x^{2} x = x^{2 + 1}

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

Add the numbers:

2 + 1 = 3

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

Apply exponent rule:

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

y^{3} y = y^{3 + 1}

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

Add the numbers:

3 + 1 = 4

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

Multiply the numbers:

2 \cdot 3 \cdot 5 = 30

= 30 x^{3} y^{4} z^{2}

e^{- 0.46209 \cdot 16}

(1 - x^{2})^{x}

1.3 e^{- 0.3 (3.8)}

3.3 \cdot 1 0^{- 2}

\frac{x}{5}

What is (2x^2y^3)(3xz^2)(5y) ?
The solution to (2x^2y^3)(3xz^2)(5y) is 30x^3y^4z^2