Question

Simplify (p^7)^2/p^5

Answer 1

Given:

`((p^7)^2)/(p^5)`

Use the rules for exponents, according to the steps below.

Step 01: Use The Power Rule for Exponents.

According to this rule:

`(a^b)^c=a^(b\cdot c)`

Then,

`(p^7)^2=p^(7\cdot2)=p^(14)`

Substituting it, we have:

`(p^(14))/(p^5)`

Step 02: Use The Quotient Rule of Exponents.

According to this rule:

`(a^b)/(a^c)=a^(b-c)`

Then,

`(p^(14))/(p^5)=p^(14-5)=p^9`

Answer: p⁹.