What is (13x^2y)(5xy^{12}) ?

The solution to (13x^2y)(5xy^{12}) is 65x^3y^{13}

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simplify (13x^2y)(5xy^{12})

simplify

(13 x^{2} y) (5 x y^{12})

65 x^{3} y^{13}

Solution steps

(13 x^{2} y) (5 x y^{12})

Apply exponent rule:

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

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

= 13 y \cdot 5 x^{2 + 1} y^{12}

Add the numbers:

2 + 1 = 3

= 13 y \cdot 5 x^{3} y^{12}

Apply exponent rule:

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

y y^{12} = y^{1 + 12}

= 13 \cdot 5 x^{3} y^{1 + 12}

Add the numbers:

1 + 12 = 13

= 13 \cdot 5 x^{3} y^{13}

Multiply the numbers:

13 \cdot 5 = 65

= 65 x^{3} y^{13}

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