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???What’s the answer

???What’s the answer-example-1

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The simplified expression is (C)
x^12 * y^(18) / (8z^3).

To simplify the given expression, substitute the exponent operations and simplify the resulting expression.

To simplify the expression, we need to perform the exponent operations first.

Applying the power of a power property, we have:


(x^2y^3)^2 = x^((2*2)) * y^((3*2)) = x^4 * y^6

Now, substitute this result back into the original expression:


((x^4 * y^6)^2)/(2z))^3 = ((x^8 * y^(12))/(2z))^3 = (x^(24) * y^(36))/(8z^3)

The simplified expression is therefore (C)
x^12 * y^(18) / (8z^3).

The probable question may be:

Simplify: (\frac{(x^2y^3)^2}{2z} )^3

\frac{x^7y^{15}}{6z^3}

\frac{x^{12}y^{15}}{6z^3}

\frac{x^{12}y^{18}}{8z^3}

\frac{x^{7}y^{8}}{2z^3}

User Selim Ok
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