Divide and simplify.
-$\frac { ( 3 p ) ^ { 10 } } { ( 3 p ) ^ { 6 } }$
A) $81 p ^ { 4 }$
B) $\frac { 1 } { 81 p ^ { 4 } }$
C) $\frac { 81 } { \mathrm { p } ^ { 4 } }$
D) $\frac { p ^ { 4 } } { 81 }$

Question

Quizplus · Accepted Answer

To divide powers with the same base, subtract the exponents: $ (3p)^{10} / (3p)^{6} = (3p)^{10-6} = (3p)^{4} $. Simplifying further, $ (3^4)(p^4) = 81p^4 $.

Divide and Simplify (3p)10(3p)6\frac { ( 3 p ) ^ { 10 } } { ( 3 p ) ^ { 6 } }(3p)6(3p)10​

Divide and Simplify $\frac { ( 3 p ) ^ { 10 } } { ( 3 p ) ^ { 6 } }$