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

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rkssmaths

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Answer:

2, 4 and 8

Step-by-step explanation:

Using the rule of exponents/ radicals

[tex]a^{\frac{m}{n} }[/tex] ⇔ [tex]\sqrt[n]{a^{m} }[/tex]

(a)

[tex]8^{\frac{1}{3} }[/tex] = [tex]\sqrt[3]{8}[/tex] = 2

(b)

[tex]8^{\frac{2}{3} }[/tex] = [tex]\sqrt[3]{8^{2} }[/tex] = 2² = 4

(c)

[tex]16^{\frac{3}{4} }[/tex] = [tex]\sqrt[4]{16^{3} }[/tex] = 2³ = 8

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