Question

( 125 ^2)^5 : ( 5^4)7

Answer 1

125=5^3
5^3×2×5/5^4×7
5^30/5^28
5^30-28=5^2=25

Answer 2

To simplify the expression, let's calculate each part separately:

1. Calculate (125^2)^5: First, calculate 125^2: 125^2 = 125 * 125 = 15,625

Now, raise 15,625 to the power of 5: (15,625)^5 = 15,625 * 15,625 * 15,625 * 15,625 * 15,625 ≈ 7,629,394,531,250

2. Calculate (5^4)7: Calculate 5^4: 5^4 = 5 * 5 * 5 * 5 = 625

Now, multiply 625 by 7: 625 * 7 = 4,375

Now that we have both parts calculated, we can find the result of the entire expression:

(125^2)^5 : (5^4)7 = 7,629,394,531,250 : 4,375 ≈ 1,741,818,840

So, (125^2)^5 : (5^4)7 ≈ 1,741,818,840.