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Describe why the expression 2^-4
is equivalent to the expression 1/2^4

Sagot :

Amndebater16idn

Answer:

Because when a number is raised to negative indice, it automatically becomes a fraction of 1, with the number raised to the positive indice. If the original expression becomes the other..its still equivalent and equal to the same value-just changed to make solving more easier

Answer:

see expression

Step-by-step explanation:

Using the rule of exponents

[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex] , then

[tex]2^{-4}[/tex]

= [tex]\frac{1}{2^{4} }[/tex]

Thus

[tex]2^{-4}[/tex] and [tex]\frac{1}{2^{4} }[/tex] are equivalent expressions

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