Question

* j ) 25 "0 + 37 : { 2 x 3 "4- 5 x ( 2 "7 : 2 "4 - 3 "2 : 3)"2 }
k) 7"3 { 7"4 : 7"3 : {7"5 :7"4:7: { 7"10 : 7"9 -6"7:6"6
l ) { 9"2 +2x(5"3-7x2"4)}x(2x5)"2 -2"3 x15"2
m) 5"9: 25"4+ { 16 x 4"5: 8"3- 3 x {( 2"5 x 3)"4 - 2"20 x 81})

Answer 1

j ) 25^0 + 37 : { 2 x 3^4- 5 x ( 2^7 : 2^4 - 3^2 : 3)^2 }=
= 1 + 37 : { 2 x 81- 5 x ( 2^3 - 3)^2 }=
= 1 + 37 : { 162- 5 x ( 8-3)^2 }=
= 1 + 37 : { 162- 5 x 5^2 }=
= 1 + 37 : { 162- 125 }=
= 1 + 37 : 37=
=1+1=2


k) 7^3 { 7^4 : 7^3 : {7^5 :7^4:7: { 7^10 : 7^9 -6^7:6^6=
=7^3 { 7^1 : {7^1:7: { 7 -6}=
=7^3 { 7^1 : {1:1}=
=7^4=2401


 l ) { 9^2 +2x (5^3- 7x2^4 )}x (2x5)^2  - 2^3 x15^2=
=81+2(125-112) x 100-8*225=
=81+26x100-1800
=81+2600-1800=881



m) 5^9: 25^4+ { 16 x 4^5: 8^3- 3 x {( 2^5 x 3)^4 - 2^20 x 81}) =
=5^9: 5^8+ { 2^4 x 2^10: 2^9- 3 x {( 2^20 x 3^4 - 2^20 x 3^4}) =
=5+ { 2^14: 2^9- 3 x 0=
=5+  2^5 =
=5+32=37