Number is the same as ([tex]4^{-1}[/tex])([tex]2^{3}[/tex] ÷ [tex]4^{-2}[/tex]) is 32.
Option D is correct.
PEDMAS is an acronym for the words parenthesis, exponents, division, multiplication, addition, subtraction. The PEDMAS Rule is a set of rules that prioritize the order of calculations.
Given
([tex]4^{-1}[/tex])([tex]2^{3}[/tex] ÷ [tex]4^{-2}[/tex])
= [tex](4^{-1})[/tex] [tex](\frac{2^{3} }{4^{-2} })[/tex]
= [tex](4^{-1})[/tex][tex](\frac{2^{3} }{4^{-1}. 4^{-1}})[/tex]
= [tex](\frac{2^{3} }{4^{-1} })[/tex]
= [tex]2^{3} . 4^{1}[/tex]
= 8 × 4
= 32
Hence, number is the same as ([tex]4^{-1}[/tex])([tex]2^{3}[/tex] ÷ [tex]4^{-2}[/tex]) is 32.
Option D is correct.
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