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Popular >

simplify (2xyz)(x^2y^2)

Solution

simplify

(2 x yz) (x^{2} y^{2})

Solution

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

Solution steps

(2 x yz) (x^{2} y^{2})

Apply exponent rule:

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

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

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

Add the numbers:

1 + 2 = 3

= 2 yz x^{3} y^{2}

Apply exponent rule:

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

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

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

Add the numbers:

1 + 2 = 3

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

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Frequently Asked Questions (FAQ)

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