Question

evaluate [(4/ 8)^-1 -(1/4)-1]^-1
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Answer 1

$\bigstar$ Question:

Evaluate:

• $({{ (\frac{4}{8} })^{ - 1} - { (\frac{1}{4}) }^{ - 1} })^{ - 1}$

$\bigstar$Given:

$({{ (\frac{4}{8} })^{ - 1} - { (\frac{1}{4}) }^{ - 1} })^{ - 1}$

$\bigstar$To find:

The value of :

$({{ (\frac{4}{8} })^{ - 1} - { (\frac{1}{4}) }^{ - 1} })^{ - 1}$

$\bigstar$ Solution:

$({{ (\frac{4}{8} })^{ - 1} - { (\frac{1}{4}) }^{ - 1} })^{ - 1}$

$= {( \frac{8}{4} - 4)}^{ - 1}$

$= {(2 - 4)}^{ - 1}$

$= {( - 2)}^{ - 1}$

$= ( - \frac{1}{2} )$

$\bigstar$Answer:

$\therefore$ the answer is $\frac{-1}{2}$

$\blacksquare$ Formula used:

• ${ (\frac{a}{b} )}^{ - 1} \\ = \frac{b}{a}$