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Popular >

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

Solution

simplify

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

Solution

21 x^{3} y^{5}

Solution steps

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

Apply exponent rule:

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

x^{2} x = x^{2 + 1}

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

Add the numbers:

2 + 1 = 3

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

Apply exponent rule:

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

y y^{4} = y^{1 + 4}

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

Add the numbers:

1 + 4 = 5

= 3 \cdot 7 x^{3} y^{5}

Multiply the numbers:

3 \cdot 7 = 21

= 21 x^{3} y^{5}

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Frequently Asked Questions (FAQ)

What is (3x^2y)(7xy^4) ?
The solution to (3x^2y)(7xy^4) is 21x^3y^5