Divide. Leave your answer in exponent form. Assume that all variables in any denominator are nonzero.
-$$\left( \frac { 3 x ^ { 2 } y ^ { 3 } } { z ^ { 4 } } \right) ^ { 3 }$$
A) $\frac { 3 x ^ { 6 } y ^ { 9 } } { z ^ { 7 } }$
B) $\frac { 3 x ^ { 6 } y ^ { 9 } } { z ^ { 12 } }$
C) $\frac { 27 x ^ { 6 } y ^ { 9 } } { z ^ { 12 } }$
D) $\frac { 27 x ^ { 5 } y ^ { 6 } } { z ^ { 7 } }$

Question

Quizplus · Accepted Answer

When raising a power to a power in an expression, you multiply the exponents. The given expression is raised to the 3rd power, so you multiply each exponent by 3: $3^3 = 27$, $x^{2*3} = x^6$, $y^{3*3} = y^9$, and $z^{4*3} = z^{12}$. This results in $\frac { 27 x ^ { 6 } y ^ { 9 } } { z ^ { 12 } }$.

Divide Leave Your Answer in Exponent Form (3x2y3z4)3\left( \frac { 3 x ^ { 2 } y ^ { 3 } } { z ^ { 4 } } \right) ^ { 3 }(z43x2y3​)3

Divide Leave Your Answer in Exponent Form $\left( \frac { 3 x ^ { 2 } y ^ { 3 } } { z ^ { 4 } } \right) ^ { 3 }$