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Popular >

simplify (4xy^2)(x^5y^4)

Solution

simplify

(4 x y^{2}) (x^{5} y^{4})

Solution

4 x^{6} y^{6}

Solution steps

(4 x y^{2}) (x^{5} y^{4})

Apply exponent rule:

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

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

= 4 y^{2} x^{1 + 5} y^{4}

Add the numbers:

1 + 5 = 6

= 4 y^{2} x^{6} y^{4}

Apply exponent rule:

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

y^{2} y^{4} = y^{2 + 4}

= 4 x^{6} y^{2 + 4}

Add the numbers:

2 + 4 = 6

= 4 x^{6} y^{6}

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Frequently Asked Questions (FAQ)

What is (4xy^2)(x^5y^4) ?
The solution to (4xy^2)(x^5y^4) is 4x^6y^6