Answer:
tax is 2.58
Step-by-step explanation:
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Fractions
The values are ![\frac{1}{4} , \frac{1}{8} , \frac{1}{81}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%20%20%2C%20%5Cfrac%7B1%7D%7B8%7D%20%2C%20%5Cfrac%7B1%7D%7B81%7D)
Step-by-step explanation:
As we know the fractions whose numerators are 1 can be represented in exponents and vice versa provided that the power of the exponent is (-1) ,
like 1/a = a^(-1)
= ![a^{-1}](https://tex.z-dn.net/?f=a%5E%7B-1%7D)
so accordingly
a)
4^(-1) or
can be represented exponentially as ¼ .
⇒
Part b)
2^(-3) or
We can simplify the exponent so that the power should be equal to -1.
And, so
= 8
So we can write the above the expression as 8^(-1) or ![8^{-1}](https://tex.z-dn.net/?f=8%5E%7B-1%7D)
So the fraction corresponding to it is
.
⇒ ![\frac{1}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B8%7D)
Part c)
3^(-4) now we can simplify the exponent so that the power of the exponent is -1.
And thus , (3 ^4)^(-1) = 81^(-1) = ![\frac{1}{81}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B81%7D)
So the fraction obtained is
.
⇒ ![\frac{1}{81}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B81%7D)
The values are ![\frac{1}{4} , \frac{1}{8} , \frac{1}{81}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%20%20%2C%20%5Cfrac%7B1%7D%7B8%7D%20%2C%20%5Cfrac%7B1%7D%7B81%7D)