Which of the following are not true-i 31-3-3-3ii 31-2-32iii 3-2-3iv 31-2-3

The correct option is A i, ii, iii 3^(1/3) = √(3) i.e, cube root of 3 3^(1/2) = √(3) i.e, square root of 3 3^ 2 = 1/(3^2) nbsp;[a^ n = 1/a^n] Hence, (i) (i ...

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Standard VIII

Mathematics

Laws of Exponents

Which of the ...

Question

Which of the following are not true?

i) $3^{(\frac{1}{3})}$ = $\sqrt{3^{- 3}}$
ii) $3^{(\frac{1}{2})}$ = $\sqrt{3^{2}}$
iii) $3^{- 2}$ = $\sqrt{3}$
iv) $3^{(\frac{1}{2})}$ = $\sqrt{3}$

i, ii, iii

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ii, iii, iv

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i, ii,

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iii, iv

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Solution

The correct option is A
i, ii, iii

$3^{(\frac{1}{3})} = \sqrt[3]{3}$ i.e, cube root of 3
$3^{(\frac{1}{2})} = \sqrt{3}$ i.e, square root of 3
$3^{- 2}$ = $\frac{1}{(3^{2})}$ [ $a^{- n} = \frac{1}{a^{n}}$ ]

Hence, (i) (ii) and (iii) are wrong and only (iv) is correct

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Which of the following are not true? i) 3(13) = √3−3 ii) 3(12) = √32 iii) 3−2 = √3 iv) 3(12) = √3

The correct option is A i, ii, iii 3(13) =3√3 i.e, cube root of 3 3(12) =√3 i.e, square root of 3 3−2 = 1(32) [a−n=1an] Hence, (i) (ii) and (iii) are wrong and only (iv) is correct

Which of the following are not true?

i) $3^{(\frac{1}{3})}$ = $\sqrt{3^{- 3}}$
ii) $3^{(\frac{1}{2})}$ = $\sqrt{3^{2}}$
iii) $3^{- 2}$ = $\sqrt{3}$
iv) $3^{(\frac{1}{2})}$ = $\sqrt{3}$

The correct option is A
i, ii, iii

$3^{(\frac{1}{3})} = \sqrt[3]{3}$ i.e, cube root of 3
$3^{(\frac{1}{2})} = \sqrt{3}$ i.e, square root of 3
$3^{- 2}$ = $\frac{1}{(3^{2})}$ [ $a^{- n} = \frac{1}{a^{n}}$ ]

Hence, (i) (ii) and (iii) are wrong and only (iv) is correct