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Popular >

simplify (2x^3yz^2)^3

Solution

simplify

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

Solution

8 x^{9} y^{3} z^{6}

Solution steps

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

Apply exponent rule:

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

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

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

2^{3} = 8

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

Simplify

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

= 8 x^{9} y^{3} (z^{2})^{3}

Simplify

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

= 8 x^{9} y^{3} z^{6}

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Frequently Asked Questions (FAQ)

What is (2x^3yz^2)^3 ?
The solution to (2x^3yz^2)^3 is 8x^9y^3z^6