What is (13xzy)(10x^2z^3) ?

The solution to (13xzy)(10x^2z^3) is 130x^3z^4y

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simplify (13xzy)(10x^2z^3)

simplify

(13 x zy) (10 x^{2} z^{3})

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

Solution steps

(13 x zy) (10 x^{2} z^{3})

Apply exponent rule:

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

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

= 13 zy \cdot 10 x^{1 + 2} z^{3}

Add the numbers:

1 + 2 = 3

= 13 zy \cdot 10 x^{3} z^{3}

Apply exponent rule:

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

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

= 13 y \cdot 10 x^{3} z^{1 + 3}

Add the numbers:

1 + 3 = 4

= 13 y \cdot 10 x^{3} z^{4}

Multiply the numbers:

13 \cdot 10 = 130

= 130 x^{3} z^{4} y

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