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algol [13]
2 years ago
7

PLEASE HELP ME OUT!!

Mathematics
1 answer:
Zielflug [23.3K]2 years ago
3 0

Answer:

  (d)  1/√(s³)

Step-by-step explanation:

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

<h3>Rules of exponents</h3>

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}

<h3>Application</h3>

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}}}

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