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

The correct answer is: [A]: " ([tex] \frac{1}{2} [/tex])⁴ " .
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Note: ([tex] \frac{1}{2} [/tex])⁴ = [tex] \frac{1^{4} }{2^{4} } [/tex] ;

= [tex] \frac{1*1*1*1}{2*2*2*2} [/tex] ;

= [tex] \frac{1}{16} [/tex] .
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Consider "Choice [B]" : "([tex] \frac{1}{2} [/tex])⁴ " ;

Note: ([tex] \frac{1}{4} [/tex])⁴ = [tex] \frac{1^{4} }{4^{4} } [/tex] ;

= [tex] \frac{1*1*1*1}{4*4*4*4} [/tex] ;

= [tex] \frac{1}{256} [/tex] .

Note that: "[tex] \frac{1}{256} [/tex]" [tex] \neq [/tex] "[tex] \frac{1}{16} [/tex]" .
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Consider "Choice [C]" : "([tex] \frac{1}{8} [/tex])² " ;

Note: ([tex] \frac{1}{8} [/tex])² = [tex] \frac{1^{2} }{8^{2} } [/tex] ;

= [tex] \frac{1*1}{8*8} [/tex] ;

= [tex] \frac{1}{64} [/tex] .

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