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Popular >

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

Solution

simplify

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

Solution

3 x^{3} y^{3} z^{5}

Solution steps

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

Apply exponent rule:

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

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

= 3 y^{2} z^{4} x^{2 + 1} yz

Add the numbers:

2 + 1 = 3

= 3 y^{2} z^{4} x^{3} yz

Apply exponent rule:

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

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

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

Add the numbers:

2 + 1 = 3

= 3 z^{4} x^{3} y^{3} z

Apply exponent rule:

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

z^{4} z = z^{4 + 1}

= 3 x^{3} y^{3} z^{4 + 1}

Add the numbers:

4 + 1 = 5

= 3 x^{3} y^{3} z^{5}

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Frequently Asked Questions (FAQ)

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