a)
10 x { 18² : 324 + 2 x [ ( 2²x 3 )¹⁵: ( 2²⁹ x 3¹⁵ ) + 1²⁴ ]}= 70
= 10 x { 324 : 324 + 2 x [ ( 2²ˣ¹⁵ x 3¹⁵ ) : ( 2²⁹ x 3¹⁵ ) + 1] }=
= 10 x { 1 + 2 x [ ( 2³⁰ x 3¹⁵ ) : ( 2²⁹ x 3¹⁵ ) + 1 ] } =
= 10 x [ 1 + 2 x ( 2 + 1 ) ] =
= 10 x ( 1 + 2 x 3 ) =
= 10 x 7 =
= 70
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b)
[ 2¹² x 2¹⁸ + 5⁷⁰ : 5¹⁰ - ( 3²⁵ )² ] : [ 4² x 2³ x 2²³ + ( 5¹⁵ )²ˣ² - ( 3² )⁵ˣ⁵ ] = 1
= ( 2 ⁽ ¹² ⁺ ¹⁸ ⁾ + 5 ⁽ ⁷⁰ ⁻ ¹⁰ ⁾ - 3 ²⁵ ˣ ² ) : [ ( 2²)²x 2³⁺²³ + 5¹⁵ˣ⁴ - 3²ˣ²⁵ ] =
= ( 2³⁰ + 5⁶⁰ - 3⁵⁰ ) : ( 2⁴ ⁺ ²⁶ + 5⁶⁰ - 3⁵⁰ ) =
= ( 2³⁰ + 5⁶⁰ - 3⁵⁰ ) : ( 2³⁰ + 5⁶⁰ - 3⁵⁰ ) =
= 1
