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Popular >

simplify (2x^2y)(5x^3y^4)

Solution

simplify

(2 x^{2} y) (5 x^{3} y^{4})

Solution

10 x^{5} y^{5}

Solution steps

(2 x^{2} y) (5 x^{3} y^{4})

Apply exponent rule:

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

x^{2} x^{3} = x^{2 + 3}

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

Add the numbers:

2 + 3 = 5

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 4 = 5

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

Multiply the numbers:

2 \cdot 5 = 10

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

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Frequently Asked Questions (FAQ)

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