Question

(5^10 ×25^2 )^3 ÷5^40=

Answer 1

(5¹⁰ *25²)³ :5⁴⁰= (5¹⁰ *5⁴)³ : 5⁴⁰= (5¹⁴)³ : 5⁴⁰= 5⁴² : 5⁴⁰= 5²= 25

Answer 2

$\frac{(5^{10}*25^2)^3}{5^{40}}=\frac{[5^{10}*(5^2)^2]^3}{5^{40}}=\frac{(5^{10}*5^4)^3}{5^{40}}=\frac{5^{(10+4)*3}}{5^{40}}=\frac{5^{42}}{5^{40}}=5^2=25$