Respuesta :
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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