What is (2x-4y^2)^2(2x+4y^2)^2 ?

The solution to (2x-4y^2)^2(2x+4y^2)^2 is (2x-4y^2)^2(2x+4y^2)^2

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simplify (2x-4y^2)^2(2x+4y^2)^2

simplify

(2 x - 4 y^{2})^{2} (2 x + 4 y^{2})^{2}

(2 x - 4 y^{2})^{2} (2 x + 4 y^{2})^{2}

Solution steps

(2 x - 4 y^{2})^{2} (2 x + 4 y^{2})^{2}

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

(2 x - 4 y^{2})^{2} (2 x + 4 y^{2})^{2} = ((2 x - 4 y^{2}) (2 x + 4 y^{2}))^{2}

= ((2 x - 4 y^{2}) (2 x + 4 y^{2}))^{2}

Apply exponent rule:

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

= (2 x - 4 y^{2})^{2} (2 x + 4 y^{2})^{2}

(e^{3})^{8}

(\frac{81}{225})

(a^{3} b^{2}) (a b^{3})

e^{- 2 \cdot 0.71}

What is (2x-4y^2)^2(2x+4y^2)^2 ?
The solution to (2x-4y^2)^2(2x+4y^2)^2 is (2x-4y^2)^2(2x+4y^2)^2