Use the power rule and the power of a product or quotient rule to simplify the expression.
-$\left( - 6 x ^ { 3 } y ^ { 6 } z \right) ^ { 2 }$
A) $12 x ^ { 6 } y ^ { 12 } z ^ { 2 }$
B) $36 x ^ { 6 } y ^ { 12 } z ^ { 2 }$
C) $- 6 x ^ { 5 } y ^ { 8 } z$
D) $- 36 x ^ { 6 } y ^ { 12 } z ^ { 2 }$

Question

Quizplus · Accepted Answer

When you apply the power rule $(a^n)^m = a^{n*m}$ to each component of the expression $(-6x^3y^6z)^2$, you square each of the coefficients and variables separately. Squaring -6 gives 36, $x^3$ squared gives $x^6$, $y^6$ squared gives $y^{12}$, and $z$ squared gives $z^2$, resulting in $36x^6y^{12}z^2$.

Use the Power Rule and the Power of a Product (−6x3y6z)2\left( - 6 x ^ { 3 } y ^ { 6 } z \right) ^ { 2 }(−6x3y6z)2

Use the Power Rule and the Power of a Product $\left( - 6 x ^ { 3 } y ^ { 6 } z \right) ^ { 2 }$