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Popular >

simplify (5xy^2)(7yx^2)

Solution

simplify

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

Solution

35 x^{3} y^{3}

Solution steps

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

Apply exponent rule:

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

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

= 5 y^{2} \cdot 7 y x^{1 + 2}

Add the numbers:

1 + 2 = 3

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

Apply exponent rule:

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

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

= 5 \cdot 7 y^{2 + 1} x^{3}

Add the numbers:

2 + 1 = 3

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

Multiply the numbers:

5 \cdot 7 = 35

= 35 x^{3} y^{3}

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Frequently Asked Questions (FAQ)

What is (5xy^2)(7yx^2) ?
The solution to (5xy^2)(7yx^2) is 35x^3y^3