What is (4x^2y)(2x^3y^3z)(3z) ?

The solution to (4x^2y)(2x^3y^3z)(3z) is 24x^5y^4z^2

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simplify (4x^2y)(2x^3y^3z)(3z)

simplify

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

24 x^{5} y^{4} z^{2}

Solution steps

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

Apply exponent rule:

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

x^{2} x^{3} = x^{2 + 3}

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

Add the numbers:

2 + 3 = 5

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

Apply exponent rule:

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

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

= 4 \cdot 2 x^{5} y^{1 + 3} z \cdot 3 z

Add the numbers:

1 + 3 = 4

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

Apply exponent rule:

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

zz = z^{1 + 1}

= 4 \cdot 2 x^{5} y^{4} \cdot 3 z^{1 + 1}

Add the numbers:

1 + 1 = 2

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

Multiply the numbers:

4 \cdot 2 \cdot 3 = 24

= 24 x^{5} y^{4} z^{2}

e^{- \frac{2}{5}}

e^{2 x} \times e^{2 x}

3 x^{3} y^{3} (2 x^{2} y^{4})

\frac{e ^{- 2 x}}{e ^{- 3 x}}

What is (4x^2y)(2x^3y^3z)(3z) ?
The solution to (4x^2y)(2x^3y^3z)(3z) is 24x^5y^4z^2