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Popular >

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

Solution

simplify

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

Solution

8 x^{5} y^{5}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 3 = 5

= 4 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}

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

Add the numbers:

2 + 3 = 5

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

Multiply the numbers:

4 \cdot 2 = 8

= 8 x^{5} y^{5}

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Frequently Asked Questions (FAQ)

What is (4x^2y^2)(2x^3y^3) ?
The solution to (4x^2y^2)(2x^3y^3) is 8x^5y^5