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Popular >

simplify (4xy)(7x^3y^2)

Solution

simplify

(4 x y) (7 x^{3} y^{2})

Solution

28 x^{4} y^{3}

Solution steps

(4 x y) (7 x^{3} y^{2})

Apply exponent rule:

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

x x^{3} = x^{1 + 3}

= 4 y \cdot 7 x^{1 + 3} y^{2}

Add the numbers:

1 + 3 = 4

= 4 y \cdot 7 x^{4} y^{2}

Apply exponent rule:

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

y y^{2} = y^{1 + 2}

= 4 \cdot 7 x^{4} y^{1 + 2}

Add the numbers:

1 + 2 = 3

= 4 \cdot 7 x^{4} y^{3}

Multiply the numbers:

4 \cdot 7 = 28

= 28 x^{4} y^{3}

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Frequently Asked Questions (FAQ)

What is (4xy)(7x^3y^2) ?
The solution to (4xy)(7x^3y^2) is 28x^4y^3