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rubeushagrid rubeushagrid
  • 09-03-2016
  • Mathematics
Answered

Which of the following is the multiplicative inverse of 4/3a?


O 3a/4

O 4/3a

O -3a/4

O -4/3a

Verified Answer :

superkoopasirf
superkoopasirf superkoopasirf
  • 09-03-2016

The multiplicative inverse of a quantity - \(x\), say - denoted by \(x^{*}\), must satisfy the following:

\(xx^{*} = 1\),

giving

\(x^{*} = \frac{1}{x}\).

So in this case that \(x = \frac{4}{3a}\),

\(x^{*} = \frac{1}{(\frac{4}{3a})} = \frac{3a}{4}\)

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