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PtichkaEL [24]
3 years ago
8

Why do you subtract exponents when dividing powers with the same base

Mathematics
1 answer:
user100 [1]3 years ago
5 0
Well you see, when you have to bases and powers and u don't subtract the exponents the reciprocal wouldn't be the same as the exponents.



 
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Find the inverse of each function. Is the inverse a function? f(x)=x⁷
Luda [366]

The inverse of the function x^7 is x^-7 and it is also a function.

An inverse function or an anti function is defined as a function, which can reverse into another function.

A standard method to find inverse of a function is to set y=f(x)

let y= f(x)=x^7

thus

\sqrt[7]{y}=x

thus f^{-1}(y)=\sqrt[7]{y}

thus f^{-1} (x)=\sqrt[7]{x}

(To verify this if a function is inverse or not we are required to check for the identity)

f(f^{-1}(x))=f^{-1}(f(x))=x

Therefore, The inverse of the function x^7 is x^-7 and it is also a function.

For further reference:

brainly.com/question/2541698?referrer=searchResults

#SPJ4

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1 year ago
YALL PLEASE PLEASE DIS A TEST!!
ollegr [7]
The answer would be 7 becuase if rounded
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3 years ago
What is the reciprocal of 9/10 as a mixed numeral?
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Reciprocals are technically flipped fractions. So it would be 10/9. 9 goes into ten one time, so it's 1 1/9.
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3 years ago
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Idk you kno I am trying to get points right
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