Express the following in the exponential from -i -5ii -7iii-100iv -3-4v -61-1123 -4 MARKS-

Concept:1.5 Marks Application: 0.5 Mark each (i) √(5) = 5^1/2 (ii) √(7) = 7^1/3 (iii) √(100) = (100)^1/9 (iv) √(3/4) = (3/4)^1/5 (v) √(61/1123) = (61/1123) ...

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Standard IX

Mathematics

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Express the f...

Question

Express the following in the exponential from :

$(i) \sqrt{5}$

$(i i) \sqrt[3]{7}$

$(i i i) \sqrt[9]{100}$

$(i v) \sqrt[5]{\frac{3}{4}}$

$(v) \sqrt[8]{\frac{61}{1123}}$ [4 MARKS]

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Solution

Concept:1.5 Marks
Application: 0.5 Mark each

$(i) \sqrt{5} = 5^{\frac{1}{2}}$

$(i i) \sqrt[3]{7} = 7^{\frac{1}{3}}$

$(i i i) \sqrt[9]{100} = (100)^{\frac{1}{9}}$

$(i v) \sqrt[5]{\frac{3}{4}} = (\frac{3}{4})^{\frac{1}{5}}$

$(v) \sqrt[8]{\frac{61}{1123}} = (\frac{61}{1123})^{\frac{1}{8}}$

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Similar questions

Q. Express the following in the exponential from :

(i) \sqrt{5}

(i i) \sqrt[3]{7}

(i i i) \sqrt[9]{100}

(i v) \sqrt[5]{\frac{3}{4}}

(v) \sqrt[8]{\frac{61}{1123}}

[4 MARKS]

Q. Write each of the following numbers in usual form:
(i) 2.06 × 10⁻⁵
(ii) 5 × 10⁻⁷
(iii) 6.82 × 10⁻⁶
(iv) 5.673 × 10⁻⁴
(v) 1.8 × 10⁻²
(vi) 4.129 × 10⁻³

Q. Simplify and express each of the following in exponential form:

[(5^{2})^{3} \times 5^{4}] \div 5^{7}

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Q. Express each of the following in exponential form:
(i) (−5) × (−5) × (−5)
(ii)

\frac{- 5}{7} \times \frac{- 5}{7} \times \frac{- 5}{7} \times \frac{- 5}{7}

(iii)

\frac{4}{3} \times \frac{4}{3} \times \frac{4}{3} \times \frac{4}{3} \times \frac{4}{3}

Q. Express the following in Exponential form :
(i)

{log}_{9} 6561 = 4

(ii)

{log}_{1 / 16} (\frac{1}{8}) = \frac{3}{4}

(iii)

{log}_{0.5} 0.125 = 3

(iv)

{log}_{2} \frac{1}{4} = - 2

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Express the following in the exponential from : (i)√5 (ii)3√7 (iii)9√100 (iv)5√34 (v)8√611123 [4 MARKS]

Concept:1.5 Marks Application: 0.5 Mark each (i)√5=512 (ii)3√7=713 (iii)9√100=(100)19 (iv)5√34=(34)15 (v)8√611123=(611123)18

Express the following in the exponential from :

$(i) \sqrt{5}$

$(i i) \sqrt[3]{7}$

$(i i i) \sqrt[9]{100}$

$(i v) \sqrt[5]{\frac{3}{4}}$

$(v) \sqrt[8]{\frac{61}{1123}}$ [4 MARKS]

Concept:1.5 Marks
Application: 0.5 Mark each

$(i) \sqrt{5} = 5^{\frac{1}{2}}$

$(i i) \sqrt[3]{7} = 7^{\frac{1}{3}}$

$(i i i) \sqrt[9]{100} = (100)^{\frac{1}{9}}$

$(i v) \sqrt[5]{\frac{3}{4}} = (\frac{3}{4})^{\frac{1}{5}}$

$(v) \sqrt[8]{\frac{61}{1123}} = (\frac{61}{1123})^{\frac{1}{8}}$