Question

Let us now write some more numbers in exponential form :
(i)
$\sqrt{7}$
(ii)
$\sqrt{11}$
(iii)
$( \sqrt{5) ^{3} }$
(iiii)
$( \sqrt[3]{13} ) ^{5}$
​

Answer 1

Step-by-step explanation:

Given that:

$(I)\sqrt{7}$

$(ii)\sqrt{11}$

$(iii)( \sqrt{5) ^{3} }$

$(iv)( \sqrt[3]{13} ) ^{5}$

To find: Exponent form of given numbers

Solution : Exponent form ,i.e.

$\bold{ {a}^{n} }$

So,

$(i)\sqrt{7} = {7}^{ \frac{1}{2} }$

$(ii) </p><p> \sqrt{11} = {(11)}^{ \frac{1}{2} }$

$(iii)( \sqrt{5) ^{3} } \\ \\ = > \sqrt{ {5}^{3} } \\ \\ = {( {5}^{3}) }^{ \frac{1}{2} } \\ \\ \sqrt{ {5}^{3} }= {5}^{ \frac{3}{2} } \\ \\ \because \: {( {a}^{b} )}^{ \frac{1}{n} } = {a}^{ \frac{b}{n} }$

$(iv)( \sqrt[3]{13} ) ^{5} \\ \\ = > ({( {13)}^{ \frac{1}{3} } })^{5} \\ \\ ( \sqrt[3]{13} ) ^{5} = {(13)}^{ \frac{5}{3} }$

Hope it helps you.

Answer 2

Let us now write some more numbers in exponential form :

(i)

$\sqrt{7}$

(ii)

$\sqrt{11}$

(iii)

$( \sqrt{5) ^{3} }$

(iiii)

$( \sqrt[3]{13} ) ^{5}$

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