Question

[(3^7*3^8-1):(27^5-1)]^4= ; b) {[(8*9-24+7*6):5+9-(42-4-6^2)]}^100= ; c) 10*{3+(6+2^2)*[2*181+10*(24+24:2^2)]}=

Answer 1

a) [(3^7×3^8-1):(27^5-1)]^4=
=[(3^15-1):(3^3^5-1)]^4
=[(3^15-1):(3^15-1)]^4
=1^4=4
b){[(8×9-24+7×6):5+9-(42-4-6^2)]}^100
={[(72-24+42):5+9-(38-36)]}^100
={[(48 +42):5+9-2)]}^100
=(90:5+9-2)^100
=(18+9-2)^100
=25^100
c) 10×{3+(6+2^2)×[2×181+10×(24+24:2^2)]}
= 10×{3+(6+4)×[2×181+10×(24+24:4)]}
=10×{3+10×[362+10×(24+6)]}
=10×[3+10×(362+10×30)]
=10×[3+10×(362+300)]
=10×(3+10×662)
=10×(3+6620)
=10×6623
=66230