Question

Write the value of 17-⅓ *(289)¹/6

Answer 1

Answer:

$Value \:of \: 17^{\frac{-1}{3}}\times (289)^{\frac{1}{6}}=1$

Step-by-step explanation:

$Value \:of \: 17^{\frac{-1}{3}}\times (289)^{\frac{1}{6}}\\=17^{\frac{-1}{3}}\times (17^{2})^{\frac{1}{6}}\\=17^{\frac{-1}{3}}\times (17)^{\frac{2}{6}}\\=17^{\frac{-1}{3}}\times (17)^{\frac{1}{3}}\\=17^{\frac{-1}{3}+\frac{1}{3}}\\=17^{0}\\=1$

Therefore,

$Value \:of \: 17^{\frac{-1}{3}}\times (289)^{\frac{1}{6}}=1$

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Answer 2

Answer:

Step-by-step explanation: