1 Answer

Liamgbs · Answer 1 · 2023-02-14T03:15:38+0000

Answer:

(d) 1/√(s³)

Explanation:

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

The relevant rules are ...

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

The given expression can be simplified by applying these rules.

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

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