<img src="https://tex.z-dn.net/?f=%28%20%5Cfrac%7B8%7D%7B27%7D%20%29%20%5E%7B%20%5Cfrac%7B1%7D%7B3%7D%20%7D%20" id="TexFormula1"

3 years ago

title="( \frac{8}{27} ) ^{ \frac{1}{3} } " alt="( \frac{8}{27} ) ^{ \frac{1}{3} } " align="absmiddle" class="latex-formula">
= ?

Mathematics

1 answer:

Cloud [144]3 years ago

4 0

Answer:

2/3

Step-by-step explanation:

Simplify the following:

(8/27)^(1/3)

Hint: | For all n>=0, (m/n)^(1/3) = (m^(1/3))/(n^(1/3)).

(8/27)^(1/3) = (8^(1/3))/(27^(1/3)):

(8^(1/3))/(27^(1/3))

Hint: | Simplify radicals.

27^(1/3) = (3^3)^(1/3) = 3:

(8^(1/3))/3

Hint: | Simplify radicals.

8^(1/3) = (2^3)^(1/3) = 2:

Answer: 2/3

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