What is expand (x^6y^6)(x^{11}y^{10}) ?

The solution to expand (x^6y^6)(x^{11}y^{10}) is x^{17}y^{16}

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expand (x^6y^6)(x^{11}y^{10})

expand

(x^{6} y^{6}) (x^{11} y^{10})

x^{17} y^{16}

Solution steps

(x^{6} y^{6}) (x^{11} y^{10})

Remove parentheses:

(a) = a

= x^{6} y^{6} x^{11} y^{10}

Apply exponent rule:

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

x^{6} x^{11} = x^{6 + 11}

= y^{6} x^{6 + 11} y^{10}

Add the numbers:

6 + 11 = 17

= y^{6} x^{17} y^{10}

Apply exponent rule:

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

y^{6} y^{10} = y^{6 + 10}

= x^{17} y^{6 + 10}

Add the numbers:

6 + 10 = 16

= x^{17} y^{16}

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What is expand (x^6y^6)(x^{11}y^{10}) ?
The solution to expand (x^6y^6)(x^{11}y^{10}) is x^{17}y^{16}