What is (3x^2y^2+5x^2y^2)^2 ?

The solution to (3x^2y^2+5x^2y^2)^2 is 64x^4y^4

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

simplify

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

64 x^{4} y^{4}

Solution steps

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

Add similar elements:

3 x^{2} y^{2} + 5 x^{2} y^{2} = 8 x^{2} y^{2}

= (8 x^{2} y^{2})^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(8 x^{2} y^{2})^{2} = 8^{2} (x^{2})^{2} (y^{2})^{2}

= 8^{2} (x^{2})^{2} (y^{2})^{2}

8^{2} = 64

= 64 (x^{2})^{2} (y^{2})^{2}

Simplify

(x^{2})^{2} : x^{4}

= 64 x^{4} (y^{2})^{2}

Simplify

(y^{2})^{2} : y^{4}

= 64 x^{4} y^{4}

(1 - i) (2 - i) (3 - i)

(1 \frac{5}{7} x^{3 m - \frac{1}{3}})^{3} \cdot (\frac{7}{12} x^{\frac{1}{3}})^{3}

81 \cdot 900

- 12 \cdot 4

5 \cdot \frac{4}{5}