a) 10^60:(2x5)^58=10^60:10^58=10^60-58=10^2=100
b) (7^14x5)^2:7^26=(7²⁸x5²):7²⁶
==7²x5²
==(7x5)²
=35²
=1225
c) (7⁶)⁸:49²⁴=7⁴⁸:(7²)²⁴
=7⁴⁸:7⁴⁸
=7⁰ =0
d)(3⁴)⁹:(9⁶)³=3³⁶:[(3²)⁶]³ =3³⁶:3³⁶ =3⁰
=0
e) 11^2011 × 4^1005) : [(22^2)^5]^201 =(11^2011 × 2^2010) : ( 22^10)^201 =(11^2011 × 2^2010) : ( 22^2010) =(11^2011 × 2^2010) : (2 ^2010 × 11^2010) =11 ^(2011 - 2010) × 2^2010 : 2^2010) =11^1 × 1 =11
f)2²³:2²¹:2+3³²:3³¹x3=2²³⁻²¹⁻¹+3³²⁻³¹⁺¹ =2¹+3²
=2+9 =11
