Question

the value of (8/27)1/3 is

Answer 1

((8/27)(1/3))=(2/3)^3×1/3
=2/3

Answer 2

$\red { Value \:of \: \Big(\frac{8}{27}\Big)^{\frac{1}{3}}}$

$= \Big(\frac{2^{3}}{3^{3}}\Big)^{\frac{1}{3}}$

$= \Big(\big(\frac{2}{3}\big)^{3}\Big)^{\frac{1}{3}}$

$\boxed {\pink { \frac{a^{n}}{b^{n}} = \Big(\frac{a}{b}\Big)^{n} }}$

$= \Big( \frac{2}{3}\Big)^{3 \times \frac{1}{3}}$

$\boxed { \pink { (a^{m})^{n} = a^{m \times n } }}$

$= \frac{2}{3}$

Therefore.,

$\red { Value \:of \: \Big(\frac{8}{27}\Big)^{\frac{1}{3}} }\green {= \frac{2}{3}}$

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