What is (3x^3yz^2)(2x^3y^3) ?

The solution to (3x^3yz^2)(2x^3y^3) is 6x^6y^4z^2

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simplify (3x^3yz^2)(2x^3y^3)

simplify

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

6 x^{6} y^{4} z^{2}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

3 + 3 = 6

= 3 y z^{2} \cdot 2 x^{6} y^{3}

Apply exponent rule:

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

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

= 3 z^{2} \cdot 2 x^{6} y^{1 + 3}

Add the numbers:

1 + 3 = 4

= 3 z^{2} \cdot 2 x^{6} y^{4}

Multiply the numbers:

3 \cdot 2 = 6

= 6 x^{6} y^{4} z^{2}

(5 x^{2} y^{3}) (8 x y^{5})

10000 e^{- \frac{3}{4} (2 - 3)^{\frac{4}{3}}}

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

2 π \cdot 10 0^{- 1}