Question

Which of the following expressions is equal to 1 divided by 16

Answer 1

The correct answer is: [A]: " (
`(1)/(2)`)⁴ " .
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Note: (
`(1)/(2)`)⁴ =
`(1^(4) )/(2^(4) )` ;

=
`(1*1*1*1)/(2*2*2*2)` ;

=
`(1)/(16)` .
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Consider "Choice [B]" : "(
`(1)/(2)`)⁴ " ;

Note: (
`(1)/(4)`)⁴ =
`(1^(4) )/(4^(4) )` ;

=
`(1*1*1*1)/(4*4*4*4)` ;

=
`(1)/(256)` .

Note that: "
`(1)/(256)`"
`\\eq` "
`(1)/(16)`" .
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Consider "Choice [C]" : "(
`(1)/(8)`)² " ;

Note: (
`(1)/(8)`)² =
`(1^(2) )/(8^(2) )` ;

=
`(1*1)/(8*8)` ;

=
`(1)/(64)` .

Note that: "
`(1)/(64)`"
`\\eq` "
`(1)/(16)`" .
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→ As such, the only correct answer choice is:
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Answer choice: [A]: " (
`(1)/(2)`)⁴ " .
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