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