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Find the multiplicative inverse of (–7)–2 ÷ (90)–1. - Mathematics

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प्रश्न

Find the multiplicative inverse of (–7)–2 ÷ (90)–1.

बेरीज

उत्तर

As we know that a is called multiplicative inverse of b, If a × b = 1.

Given:

(–7)–2 ÷ (90)–1 

Simplify the above expression as follows:

`(-7)^-2 ÷ (90)^-1 = 1/(7)^2 ÷ 1/(90)^1`

= `1/49 ÷ 1/90`

= `1/49 xx 90/1`

= `90/49` 

Let `b = 90/49`

So, `a xx 90/49 = 1`

`a = 49/90`

Hence, the multiplicative inverse is `49/90`.

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पाठ 8: Exponents and Powers - Exercise [पृष्ठ २५९]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 8
पाठ 8 Exponents and Powers
Exercise | Q 104. | पृष्ठ २५९

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