What is (7x^8y^5)(3x^3y^2) ?

The solution to (7x^8y^5)(3x^3y^2) is 21x^{11}y^7

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simplify (7x^8y^5)(3x^3y^2)

simplify

(7 x^{8} y^{5}) (3 x^{3} y^{2})

21 x^{11} y^{7}

Solution steps

(7 x^{8} y^{5}) (3 x^{3} y^{2})

Apply exponent rule:

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

x^{8} x^{3} = x^{8 + 3}

= 7 y^{5} \cdot 3 x^{8 + 3} y^{2}

Add the numbers:

8 + 3 = 11

= 7 y^{5} \cdot 3 x^{11} y^{2}

Apply exponent rule:

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

y^{5} y^{2} = y^{5 + 2}

= 7 \cdot 3 x^{11} y^{5 + 2}

Add the numbers:

5 + 2 = 7

= 7 \cdot 3 x^{11} y^{7}

Multiply the numbers:

7 \cdot 3 = 21

= 21 x^{11} y^{7}

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