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timurjin [86]
2 years ago
13

What is the pattern in the values as the exponents increase? Powers of 2 Value 2 Superscript negative 5 StartFraction 1 Over 32

EndFraction 2 Superscript negative 4 StartFraction 1 Over 16 EndFraction 2 Superscript negative 3 StartFraction 1 Over 8 EndFraction 2 Superscript negative 2 One-fourth 2 Superscript negative 1 One-half 2 Superscript 0 1 add StartFraction 1 Over 16 EndFraction to the previous value subtract StartFraction 1 Over 16 EndFraction from the previous value divide the previous value by 2 multiply the previous value by 2 Please

Mathematics
2 answers:
romanna [79]2 years ago
7 0

Answer:

Step-by-step explanation:

proof

Tatiana [17]2 years ago
6 0

Answer:

(D)Multiply the previous value by 2

Step-by-step explanation:

\left|\begin{array}{c|c}$Powers of 2&Value\\2^{-5}&\frac{1}{32}\\\\2^{-4}&\frac{1}{16}\\\\2^{-3}&\frac{1}{8}\\\\2^{-2}&\frac{1}{4}\\\\ 2^{-1}&\frac{1}{2}\\\\2^{0}&1\end{array}\right|

From the given table, we observe that the negative power of 2 reduces by 1 at each step.

2^{-5}X2=2^{-4}\\2^{-4}X2=2^{-3}\\2^{-3}X2=2^{-2}

Therefore, as the exponents increase, we multiply the previous value by 2 to obtain the next value.

The correct option is D.

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