Question

A) Find the value of 8 1/3
b) Find the value of 8 2/3
c) Find the value of 16 3/4

Answer 1

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Answer 2

2, 4 and 8

Explanation:

Using the rule of exponents/ radicals

`a^{(m)/(n) }` ⇔
`\sqrt[n]{a^(m) }`

(a)

`8^{(1)/(3) }` =
`\sqrt[3]{8}` = 2

(b)

`8^{(2)/(3) }` =
`\sqrt[3]{8^(2) }` = 2² = 4

(c)

`16^{(3)/(4) }` =
`\sqrt[4]{16^(3) }` = 2³ = 8