What is (14xy^2z^3)(7wxyz) ?

The solution to (14xy^2z^3)(7wxyz) is 98x^2y^3z^4w

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simplify (14xy^2z^3)(7wxyz)

simplify

(14 x y^{2} z^{3}) (7 w x yz)

98 x^{2} y^{3} z^{4} w

Solution steps

(14 x y^{2} z^{3}) (7 w x yz)

Apply exponent rule:

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

xx = x^{1 + 1}

= 14 y^{2} z^{3} \cdot 7 w x^{1 + 1} yz

Add the numbers:

1 + 1 = 2

= 14 y^{2} z^{3} \cdot 7 w x^{2} yz

Apply exponent rule:

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

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

= 14 z^{3} \cdot 7 w x^{2} y^{2 + 1} z

Add the numbers:

2 + 1 = 3

= 14 z^{3} \cdot 7 w x^{2} y^{3} z

Apply exponent rule:

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

z^{3} z = z^{3 + 1}

= 14 \cdot 7 w x^{2} y^{3} z^{3 + 1}

Add the numbers:

3 + 1 = 4

= 14 \cdot 7 w x^{2} y^{3} z^{4}

Multiply the numbers:

14 \cdot 7 = 98

= 98 x^{2} y^{3} z^{4} w

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