Simplify Exponential Expressions
-$\frac { \left( 3 x ^ { 3 } \right) ^ { 3 } } { x ^ { 15 } }$
A) $\frac { 27 } { x ^ { 6 } }$
B) $\frac { 3 } { x ^ { 6 } }$
C) $\frac { 27 } { x ^ { 9 } }$
D) $\frac { 27 } { x ^ { 24 } }$

Question

Quizplus · Accepted Answer

First, simplify the numerator using the power of a power rule: $(3x^3)^3 = 3^3(x^3)^3 = 27x^9$. Then, divide by the denominator: $\frac{27x^9}{x^{15}}$. Using the quotient of powers rule, subtract the exponents: $27x^{9-15} = 27x^{-6}$, which simplifies to $\frac{27}{x^6}$.

Simplify Exponential Expressions - (3x3)3x15\frac { \left( 3 x ^ { 3 } \right) ^ { 3 } } { x ^ { 15 } }x15(3x3)3​

Simplify Exponential Expressions
- $\frac { \left( 3 x ^ { 3 } \right) ^ { 3 } } { x ^ { 15 } }$