Math, asked by Itime, 7 months ago

625 raised to power negative 1/4

Answers

Answered by lucky200728
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 renuy3898
1

This is ur Answer i hope it will help u

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