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Popular >

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

Solution

simplify

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

Solution

27 x^{9} y^{6} z^{12}

Solution steps

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

Apply exponent rule:

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

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

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

3^{3} = 27

= 27 (x^{3})^{3} (y^{2})^{3} (z^{4})^{3}

Simplify

(x^{3})^{3} : x^{9}

= 27 x^{9} (y^{2})^{3} (z^{4})^{3}

Simplify

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

= 27 x^{9} y^{6} (z^{4})^{3}

Simplify

(z^{4})^{3} : z^{12}

= 27 x^{9} y^{6} z^{12}

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Frequently Asked Questions (FAQ)

What is (3x^3y^2z^4)^3 ?
The solution to (3x^3y^2z^4)^3 is 27x^9y^6z^{12}