Question

5²⁰ : (5¹⁵. 6 + 5¹⁵ . 19)

Answer 1

5^20 : (5^15.6 + 5^15.19)

=5^20 : [5^15.(6+19)]

=5^20 : (5^15.25)

=5^20 : (5^15.5^2)

=5^20:5^17

=5^3

=125

Answer 2

\(5^{20}:\left(5^{15}.6+5^{15}.19\right)\)

\(=5^{20}:\left[5^{15}.\left(6+19\right)\right]\)

\(=5^{20}:\left(5^{15}.25\right)\)

\(=5^{20}:\left(5^{15}.5^2\right)\)

\(=5^{20}:5^{15+2}\)

\(=5^{20}:5^{17}\)

\(=5^{20-17}\)

\(=5^3\)

\(=125\)

Answer 3

\(5^{20}:\left(5^{15}\cdot6+5^{15}\cdot19\right)\)

= \(5^{20}:5^{15}\cdot6+5^{20}:5^{15}\cdot19\)

= \(5^5\cdot6+5^5\cdot19\)

= \(3125\cdot6+3125\cdot19\)

= \(18750+59375\)

= \(78125\)