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Popular >

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

Solution

simplify

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

Solution

10 x^{3} y^{5}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 1 = 3

= 5 y \cdot 2 x^{3} y^{4}

Apply exponent rule:

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

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

= 5 \cdot 2 x^{3} y^{1 + 4}

Add the numbers:

1 + 4 = 5

= 5 \cdot 2 x^{3} y^{5}

Multiply the numbers:

5 \cdot 2 = 10

= 10 x^{3} y^{5}

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Frequently Asked Questions (FAQ)

What is (5x^2y)(2xy^4) ?
The solution to (5x^2y)(2xy^4) is 10x^3y^5