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

Explanation:

proof

Answer 2

(D)Multiply the previous value by 2

Explanation:

`\left|\begin{array}c$Powers of 2&Value\\2^(-5)&(1)/(32)\\\\2^(-4)&(1)/(16)\\\\2^(-3)&(1)/(8)\\\\2^(-2)&(1)/(4)\\\\ 2^(-1)&(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.