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) = p6Final result : p6

Answer 2

`(p^9)^(-2)=p^(-18)`

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)`