Question

Simplify the expression. (p^9)^−2

Answer 1

 p9/p3 Final result : p6 Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "p3"   was replaced by   "p^3".  1 more similar replacement(s).

Step by step solution :Step  1  : p9 Simplify —— p3 Dividing exponential expressions :

 1.1    p9 divided by p3 = p(9 - 3) = p6

Final result : p6

Answer 2

Answer:

$(p^9)^{-2}=p^{-18}$

Step-by-step explanation:

$(p^9)^{-2}$

To simplify the given expression we apply exponential property.

Multiply the outside exponent with inside exponent

$(a^m)^n= a^{mn}$

when we multiply the outside exponent -2 inside 9 , it becomes -18

So the given expression becomes

$(p^9)^{-2}=p^{-18}$