Question

PLEASE HELP ME OUT!!

Answer 1

(d) 1/√(s³)

Explanation:

The expression can be simplified by making use of the rules of exponents.

Rules of exponents

The relevant rules are ...

`a^b\cdot a^c=a^(b+c)\\\\(a^b)^c=a^(bc)\\\\\left((a)/(b)\right)^c=(a^c)/(b^c)\\\\a^(b/c)=\sqrt[c]{a^b}`

Application

The given expression can be simplified by applying these rules.

`\left((1)/(s^(-1)\cdot s^8)\right)^(3/14)=(1)/((s^(-1+8))^(3/14))=(1)/(s^(7\cdot3/14))=(1)/(s^(3/2))=\boxed{(1)/(√(s^3))}`