625 raised to power negative 1/4
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Answered by
2
Answer:
please mark me as brainliest it is a humble request
-1/5
Step-by-step explanation:
Just to be sure, I want to point out that the negative symbol is not enclosed in a parenthesis with 625 which means that we are looking for the negative of
625
−
1
4
. NOT
(
−
625
)
−
1
4
First things first, there is a negative sign in the exponent. We can remove that by getting the reciprocal of 625.
−
625
−
1
4
=
−
(
1
625
)
1
4
I forgot the proof for this, I think it was the definition of radical numbers (?). It states that
a
1
b
is equal to
b
√
a
. Using this, we can then convert this to a number with a radical.
−
(
1
625
)
1
4
=
−
4
√
1
625
Now look for the 4th root of
1
625
. The answer is
1
5
.
So your final answer is:
−
1
5
Answered by
1
This is ur Answer i hope it will help u
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