Express the following numbers in index form.
(i) Fifth root of 32
(ii) Eighth root of 8
(iii) Cube root of 512

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Solution

It is known that,
$n^{t h}$ root of a is expressed as $a^{\frac{1}{n}} .$
(i) Fifth root of 32
$= (32)^{\frac{1}{5}}$
(ii) Eighth root of 6
$= (6)^{\frac{1}{8}}$
(iii) Cube root of 512
$= (512)^{\frac{1}{3}}$

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Express the following numbers in index form. (i) Fifth root of 32 (ii) Eighth root of 8 (iii) Cube root of 512

It is known that, nth root of a is expressed as a1n. (i) Fifth root of 32 =(32)15 (ii) Eighth root of 6 =(6)18 (iii) Cube root of 512 =(512)13

Express the following numbers in index form.
(i) Fifth root of 32
(ii) Eighth root of 8
(iii) Cube root of 512

It is known that,
$n^{t h}$ root of a is expressed as $a^{\frac{1}{n}} .$
(i) Fifth root of 32
$= (32)^{\frac{1}{5}}$
(ii) Eighth root of 6
$= (6)^{\frac{1}{8}}$
(iii) Cube root of 512
$= (512)^{\frac{1}{3}}$