625^2 = 390,625
625 = 6.25 × 102
To express 625 as a power of 5, you can factor it down. Since (625 = 5 \times 5 \times 5 \times 5 = 5^4), we conclude that (625) can be expressed as (5^4).
54 = 625 (to find out sqr rt 625 then sqr rt again)
It is the 4th power.
625 = 28,430,288,029,929,700,000
sqrt(625) = 25 25^(2) (Second power) = 625 Hence square root of 625 to the second power , you back to the original number. Mathematically it would be written as (625^(1/2))^(2) = 625^(2 x 1/2) = 625 ^(2/2) = 625^(1) = 625 !!!!! Remember the rules for manipulation of indices. a^(n) X a ^(m) = a^(n+m) a^(n) / a^(m) = a^(n-m) (a^(n))^(m) = a^(nm) In all cases the coefficient 'a' MUST be the same. You cannot do 2^(2) X 3^(2) = 6^(4) , because the coefficients are different.
625
25 to the 2nd power, 5 to the 4th
25^2 =625 Use Google next time. Search: 25^2
625 = 6.25 × 102
As a power of its prime factors: 5^4 = 625
± 5 to the fourth power equals 625.
AS a product of its prime factors: 5 times 127 = 625
To express 625 as a power of 5, you can factor it down. Since (625 = 5 \times 5 \times 5 \times 5 = 5^4), we conclude that (625) can be expressed as (5^4).
54 = 625 (to find out sqr rt 625 then sqr rt again)
625
It is the 4th power.