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Popular >

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

Solution

simplify

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

Solution

10 x^{2} y^{2}

Solution steps

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

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

x^{2} y^{2} = (x y)^{2}

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

(x y)^{2} = x^{2} y^{2}

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

Multiply the numbers:

5 \cdot 2 = 10

= 10 x^{2} y^{2}

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Frequently Asked Questions (FAQ)

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