Question

(625)^-1/4 equals to​

Answer 1

Answer:

1/5

Step-by-step explanation:

(5^4)^-1/4 (4 to 4 cancel )

so left,

5^-1=1/5 .......

its your answer

i hope my answer will be correct........

and please mark me as brainiest........

Answer 2

Answer:

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