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mojhsa [17]
2 years ago
10

Select the expression that simplifies to 1 / x^1/8

Mathematics
1 answer:
Troyanec [42]2 years ago
4 0

Answer:

\left(\displaystyle \sqrt[3]{x^{-\tfrac 35}}\right)^{\tfrac 58}

Step-by-step explanation:

\left(\displaystyle \sqrt[3]{x^{-\tfrac 35}}\right)^{\tfrac 58}\\\\\\=\left[ \left(\displaystyle x^{-\tfrac 35} \right)^{\tfrac 13 \right]^{\tfrac 58}\\\\\\=\left( \displaystyle x^{-\tfrac 35}\right)^{\tfrac 5{24}}\\\\\\=x^{ \displaystyle -\tfrac{3}{24}  \right}\\\\\\=x^{\displaystyle -\tfrac 18  }\\\\\\=\dfrac 1{x^{\tfrac 18}}

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