What is (3x^2y^4)(5a^2x^3y^8) ?

The solution to (3x^2y^4)(5a^2x^3y^8) is 15a^2x^5y^{12}

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simplify (3x^2y^4)(5a^2x^3y^8)

simplify

(3 x^{2} y^{4}) (5 a^{2} x^{3} y^{8})

15 a^{2} x^{5} y^{12}

Solution steps

(3 x^{2} y^{4}) (5 a^{2} x^{3} y^{8})

Apply exponent rule:

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

x^{2} x^{3} = x^{2 + 3}

= 3 y^{4} \cdot 5 a^{2} x^{2 + 3} y^{8}

Add the numbers:

2 + 3 = 5

= 3 y^{4} \cdot 5 a^{2} x^{5} y^{8}

Apply exponent rule:

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

y^{4} y^{8} = y^{4 + 8}

= 3 \cdot 5 a^{2} x^{5} y^{4 + 8}

Add the numbers:

4 + 8 = 12

= 3 \cdot 5 a^{2} x^{5} y^{12}

Multiply the numbers:

3 \cdot 5 = 15

= 15 a^{2} x^{5} y^{12}

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What is (3x^2y^4)(5a^2x^3y^8) ?
The solution to (3x^2y^4)(5a^2x^3y^8) is 15a^2x^5y^{12}