Question

How do I even figure this out??

Answer 1

The value of a is 1/64.

The rules of the exponent are

(a) $a^m*a^n=a^{m+n$

(b)$a^m/a^n=a^{m-n$

(c)$(a^b)^c=a^{bc}$

(d) $\sqrt[n]{a}=a^{1/n$

(e) a⁻ⁿ=1/aⁿ

From the table it is clear that

By the rule of the exponent a⁻ⁿ=1/aⁿ

where a=2

2⁻¹ = 1/2¹ = 1/2

2⁻² =1/2² =1/4

2⁻³ =1/2³ =1/8

2⁻⁴ =1/2⁴ =1/16

2⁻⁵ =1/2⁵ =1/32

So we have to calculate the left one where it is given that we have to estimate the value for 2⁻⁶ which is a.

From the above, it is clear that 2⁻ⁿ =1/2ⁿ

using the above formula

2⁻⁶= 1/2⁶ =1/64= a

Therefore the value of a is 1/64.

Learn more about the exponent

here: brainly.com/question/535578

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