Question

Find the value of 4root (625)^-2

Answer 1

4 ROOT (625)^-2=
4 (25)^-2
4(1/625)
4/625
ANSWER IS 4/625

Answer 2

Answer:

1/25

Step-by-step explanation:

the question is 4 root 625 ^ -2

now make the power positive ..ie. 4 root (1/625)^2

we can convert root four to the power 1/4

so it will be  ( (1/625)^2)1/4

using the law of exponent, we can multiply the powers 2 and 1/4

so it will be  (1/625)^2*1/4

now the power 2 will get cancelled by the denominater of power 1/4  ie. 4

so it will be (1/625)^1/2       (as 2*1/4=1/2 )

now we know that 625=5^4

so we substitute

then it will be( (1/5)^4 )^1/2

with the law of exponents - it will be (1/5)^4*1/2

(since 4*1/2= 4/2= 2)

it will be (1/5)^2 = 1/25

hope you understood... ;-) it is long but do it in a paper and see...its pretty simple