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CBSESecondary School (English Medium) (5 to 8) Class 8
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Syllabus

The multiplicative inverse of 1010 is ______.

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Question

The multiplicative inverse of 1010 is ______.

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Solution

The multiplicative inverse of 1010 is 10–10.

Explanation:

For multiplicative inverse, a is called the multiplicative inverse of b, if a × b = 1.

Put b = 1010

Then, a × 1010 = 1

⇒ `a = 1/10^10`  ...`[∵ 1/a^m = a^-m]`

∴ a = 10–10 

Hence, the multiplicative inverse of 1010 is 10–10 

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Powers with Negative Exponents
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Q 34.
Chapter 8: Exponents and Powers - Exercise [Page 253]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 8 Exponents and Powers
Exercise | Q 34. | Page 253

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