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## Indices and Surds Questions - Indices and Surds Quiz Details

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### Indices and Surds Aptitude Questions

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Online Test Name |
Indices and Surds |

Exam Type |
Multiple Choice Questions |

Category |
Aptitude Quiz |

Number of Questions |
30 |

Referring to the above tabular form will give the necessary details about Indices and Surds Aptitude Quiz. People who are in deep search about Indices and Surds MCQ Online test they can check this web page. With no effort, people can easily gain the data on relevant topics and Indices and Surds Aptitude Multiple Choice Questions. So stay tuned to our blog allindiaexams.in.

1. Simplify the following:
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(169/121)^{-3/2} * 27/2 * (13/22)^{-1}

Answer: Option D

Explanation:

(169/121)^{-3/2} * 27/2 * (13/22)^{-1}

(13^{2}/11^{2})^{-3/2} * 27/2 * 22/13 = 13^{-3}/11^{-3} * 27/2 * 22/13

= 13^{-4} 11^{4} 3^{3}

2. (27^{2}/4^{-3})^{-5/6} = ?
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Answer: Option D

Explanation:

(27^{2}/4^{-3})^{-5/6} = [(3^{3})^{2}/(2^{2})^{-3}]^{-5/6}

= (3^{6} * 2^{6})^{-5/6}

= (6^{6})^{-5/6} = 1/6^{5} = 1/ 7776.

3. (5 - 7)^{2} * (6 - 9)^{2} / (2^{3})^{-2} = ?
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Answer: Option B

Explanation:

(5 - 7)^{2} * (6 - 9)^{2} / (2^{3})^{-2} = (-2)^{2} * (-3)^{2} * 1/(2^{3})^{-2}

= 4 * 9 * 64 = 2304.

4. (a^{-3} b^{-2} / a^{2} b^{2})^{-3} * (a^{3} b^{-4} / a^{-3} b^{3}) / (a^{-2} b^{3}/a^{-4} b^{-3}) = ?
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Answer: Option C

Explanation:

(a^{-3} b^{-2} / a^{2} b^{2})^{-3} * (a^{3} b^{-4} / a^{-3} b^{3}) / (a^{-2} b^{3}/a^{-4} b^{-3})

= (a^{-5} b^{-4})^{-3} * a^{6}b^{-7} / a^{2}b^{6}

= a^{15}b^{12} * a^{6}b^{-7} * a^{-2}b^{-6}

= a^{19} b^{-1}

5. (8x^{9} / 27y^{-6})^{-2/3} = ?
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Answer: Option A

Explanation:

(8x^{9} / 27y^{-6})^{-2/3} = (8x^{9}y^{6} / 27)^{-2/3} = [(2/3 x^{3} y^{2})^{3}]^{-2/3}

= 9/4 x^{-6} y^{-4}.