Perform the indicated operations. Write the result using only positive exponents. Assume all variables represent nonzero
real numbers.
-$\left( 3 x ^ { - 3 } \right) ^ { 3 } \left( x ^ { 2 } \right) ^ { - 5 }$
A) $\frac { 1 } { 3 ^ { - 9 } x ^ { 19 } }$
B) $3 ^ { 3 }x^{ 90}$
C) $\frac { 3 ^ { 3 } } { x ^ { 3 } }$
D) $\frac { 3 ^ { 3 } } { x ^ { 19 } }$

Question

Quizplus · Accepted Answer

To solve $\left( 3 x ^ { - 3 } \right) ^ { 3 } \left( x ^ { 2 } \right) ^ { - 5 }$, apply the power of a product rule and the power of a power rule: $(3^3)(x^{-3*3})(x^{2*-5}) = 27x^{-9}x^{-10} = 27x^{-19}$, which simplifies to $\frac{27}{x^{19}}$ or $\frac{3^3}{x^{19}}$.

Perform the Indicated Operations (3x−3)3(x2)−5\left( 3 x ^ { - 3 } \right) ^ { 3 } \left( x ^ { 2 } \right) ^ { - 5 }(3x−3)3(x2)−5

Perform the Indicated Operations $\left( 3 x ^ { - 3 } \right) ^ { 3 } \left( x ^ { 2 } \right) ^ { - 5 }$