Respuesta :

The answer is D. The bottom number is multiplied by two each time.

Based on the pattern table, the value of a is 1/64.

What is the value of a?

Given:

  • [tex]2^{-1} =\frac{1}{2}[/tex]
  • [tex]2^{-2} =\frac{1}{4}[/tex]
  • [tex]2^{-3} =\frac{1}{8}[/tex]
  • [tex]2^{-4} =\frac{1}{16}[/tex]
  • [tex]2^{-5} =\frac{1}{32}[/tex]

Find:

  • The value of [tex]2^{-6}[/tex] which is represented by a.

Solution:

The negative exponent rule tells us that a number with a negative exponent should be put to the denominator, and vice versa.

So, [tex]2^{-6} = \frac{1}{2^{6} } = \frac{1}{64}[/tex]

As, [tex]2^{6} = 64[/tex].

So, a = 1/64

Hence, the value of a is 1/64

To learn more about patterns, refer to:

https://brainly.com/question/854376

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