Question

PLEASE HELP ME OUT!!

Answer 1

Answer:

  (d)  1/√(s³)

Step-by-step explanation:

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

Rules of exponents

The relevant rules are ...

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

Application

The given expression can be simplified by applying these rules.

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