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Popular >

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

Solution

simplify

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

Solution

9 x^{3} y^{3} z^{3}

Solution steps

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

Apply exponent rule:

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

3 \cdot 3 = 3^{1 + 1}

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

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 1 = 3

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 1 = 3

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

3^{2} = 9

= 9 x^{3} y^{3} z^{3}

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Frequently Asked Questions (FAQ)

What is (3x^2y^2z^3)(3xy) ?
The solution to (3x^2y^2z^3)(3xy) is 9x^3y^3z^3