What is (9xy^8)*(6x^5y^3) ?

The solution to (9xy^8)*(6x^5y^3) is 54x^6y^{11}

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simplify (9xy^8)*(6x^5y^3)

simplify

(9 x y^{8}) \cdot (6 x^{5} y^{3})

54 x^{6} y^{11}

Solution steps

(9 x y^{8}) (6 x^{5} y^{3})

Apply exponent rule:

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

x x^{5} = x^{1 + 5}

= 9 y^{8} \cdot 6 x^{1 + 5} y^{3}

Add the numbers:

1 + 5 = 6

= 9 y^{8} \cdot 6 x^{6} y^{3}

Apply exponent rule:

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

y^{8} y^{3} = y^{8 + 3}

= 9 \cdot 6 x^{6} y^{8 + 3}

Add the numbers:

8 + 3 = 11

= 9 \cdot 6 x^{6} y^{11}

Multiply the numbers:

9 \cdot 6 = 54

= 54 x^{6} y^{11}

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