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Popular >

simplify (3xy)(7xy^2)

Solution

simplify

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

Solution

21 x^{2} y^{3}

Solution steps

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

Apply exponent rule:

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

xx = x^{1 + 1}

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

Add the numbers:

1 + 1 = 2

= 3 y \cdot 7 x^{2} y^{2}

Apply exponent rule:

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

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

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

Add the numbers:

1 + 2 = 3

= 3 \cdot 7 x^{2} y^{3}

Multiply the numbers:

3 \cdot 7 = 21

= 21 x^{2} y^{3}

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Frequently Asked Questions (FAQ)

What is (3xy)(7xy^2) ?
The solution to (3xy)(7xy^2) is 21x^2y^3