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Popular >

simplify (x^6y^{11})(x^3y^{12})

Solution

simplify

(x^{6} y^{11}) (x^{3} y^{12})

Solution

x^{9} y^{23}

Solution steps

(x^{6} y^{11}) (x^{3} y^{12})

Apply exponent rule:

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

x^{6} x^{3} = x^{6 + 3}

= y^{11} x^{6 + 3} y^{12}

Add the numbers:

6 + 3 = 9

= y^{11} x^{9} y^{12}

Apply exponent rule:

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

y^{11} y^{12} = y^{11 + 12}

= x^{9} y^{11 + 12}

Add the numbers:

11 + 12 = 23

= x^{9} y^{23}

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Frequently Asked Questions (FAQ)

What is (x^6y^{11})(x^3y^{12}) ?
The solution to (x^6y^{11})(x^3y^{12}) is x^9y^{23}