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Popular >

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

Solution

simplify

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

Solution

14 x^{5} y^{5}

Solution steps

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

Apply exponent rule:

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

x x^{4} = x^{1 + 4}

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

Add the numbers:

1 + 4 = 5

= 7 y^{2} \cdot 2 x^{5} y^{3}

Apply exponent rule:

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

y^{2} y^{3} = y^{2 + 3}

= 7 \cdot 2 x^{5} y^{2 + 3}

Add the numbers:

2 + 3 = 5

= 7 \cdot 2 x^{5} y^{5}

Multiply the numbers:

7 \cdot 2 = 14

= 14 x^{5} y^{5}

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Frequently Asked Questions (FAQ)

What is (7xy^2)(2x^4y^3) ?
The solution to (7xy^2)(2x^4y^3) is 14x^5y^5