Simplify the expression. Write the result using positive exponents only.
-$\frac { 7 p ^ { - 3 } } { 3 p ^ { 9 } }$
A) $\frac { 7 } { 3 p ^ { 27 } }$
B) $\frac { 7 p ^ { 27 } } { 3 }$
C) $\frac { 7 } { 3 p ^ { 12 } }$
D) $\frac { 7 p ^ { 12 } } { 3 }$

Question

Quizplus · Accepted Answer

To simplify the expression, we use the rule of exponents that states when dividing powers with the same base, we subtract the exponents: $p^{-3} / p^{9} = p^{-3-9} = p^{-12}$. Thus, the simplified expression is $\frac{7}{3p^{12}}$.

Simplify the Expression 7p−33p9\frac { 7 p ^ { - 3 } } { 3 p ^ { 9 } }3p97p−3​

Simplify the Expression $\frac { 7 p ^ { - 3 } } { 3 p ^ { 9 } }$