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Popular >

simplify (14x^3y^2z)^4

Solution

simplify

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

Solution

38416 x^{12} y^{8} z^{4}

Solution steps

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

Apply exponent rule:

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

(14 x^{3} y^{2} z)^{4} = 1 4^{4} (x^{3})^{4} (y^{2})^{4} z^{4}

= 1 4^{4} (x^{3})^{4} (y^{2})^{4} z^{4}

1 4^{4} = 38416

= 38416 (x^{3})^{4} (y^{2})^{4} z^{4}

Simplify

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

= 38416 x^{12} (y^{2})^{4} z^{4}

Simplify

(y^{2})^{4} : y^{8}

= 38416 x^{12} y^{8} z^{4}

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Frequently Asked Questions (FAQ)

What is (14x^3y^2z)^4 ?
The solution to (14x^3y^2z)^4 is 38416x^{12}y^8z^4