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

The solution to (2x^2yz^3)(3x^3yz^3) is 6x^5y^2z^6

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

simplify

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

6 x^{5} y^{2} z^{6}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 3 = 5

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

Apply exponent rule:

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

yy = y^{1 + 1}

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

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

z^{3} z^{3} = z^{3 + 3}

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

Add the numbers:

3 + 3 = 6

= 2 \cdot 3 x^{5} y^{2} z^{6}

Multiply the numbers:

2 \cdot 3 = 6

= 6 x^{5} y^{2} z^{6}

(y)^{4}

(15)^{3}

3 e^{- x}

(r + 1)^{2} (r - 1) (r - 2)^{2} (r + 2)^{2}

(x)^{6}

What is (2x^2yz^3)(3x^3yz^3) ?
The solution to (2x^2yz^3)(3x^3yz^3) is 6x^5y^2z^6