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Popular >

simplify (2xy^2z^2)^3

Solution

simplify

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

Solution

8 x^{3} y^{6} z^{6}

Solution steps

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

Apply exponent rule:

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

(2 x y^{2} z^{2})^{3} = 2^{3} x^{3} (y^{2})^{3} (z^{2})^{3}

= 2^{3} x^{3} (y^{2})^{3} (z^{2})^{3}

2^{3} = 8

= 8 x^{3} (y^{2})^{3} (z^{2})^{3}

Simplify

(y^{2})^{3} : y^{6}

= 8 x^{3} y^{6} (z^{2})^{3}

Simplify

(z^{2})^{3} : z^{6}

= 8 x^{3} y^{6} z^{6}

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27 x^{6} + 8 y^{6}

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simplify x^6+x^{-6}simplify

x^{6} + x^{- 6}

Frequently Asked Questions (FAQ)

What is (2xy^2z^2)^3 ?
The solution to (2xy^2z^2)^3 is 8x^3y^6z^6