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Popular >

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

Solution

simplify

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

Solution

3 x^{3} y^{4} z^{5}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 2 = 3

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 3 = 4

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 4 = 5

= 3 x^{3} y^{4} z^{5}

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Frequently Asked Questions (FAQ)

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