Find the values of the following, giving your answers as fractions
4^(-1)
2^(-3)
3^(-4)

Fractions

The values are  

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)  

 =

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

So the fraction corresponding to it is .

⇒

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)  =

So the fraction obtained is .

⇒

The values are  

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step-by-step explanation:

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step-by-step explanation:

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