Question

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

Answer 1

Answer:

Step-by-step explanation:

proof

Answer 2

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.