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Popular >

simplify (x^6y^5)(x^3y^7)

Solution

simplify

(x^{6} y^{5}) (x^{3} y^{7})

Solution

x^{9} y^{12}

Solution steps

(x^{6} y^{5}) (x^{3} y^{7})

Apply exponent rule:

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

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

= y^{5} x^{6 + 3} y^{7}

Add the numbers:

6 + 3 = 9

= y^{5} x^{9} y^{7}

Apply exponent rule:

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

y^{5} y^{7} = y^{5 + 7}

= x^{9} y^{5 + 7}

Add the numbers:

5 + 7 = 12

= x^{9} y^{12}

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Frequently Asked Questions (FAQ)

What is (x^6y^5)(x^3y^7) ?
The solution to (x^6y^5)(x^3y^7) is x^9y^{12}