Question

Calculati :
a) {[(5^4-2^2x3x5^2):13+3x5^2]:2^2+11^200:11^199+2^6}:(2^2x5^2)=
b) {5^0+7x7^4x7^5+[(2^3)^2]^5}:[(6^2)^0+(7^2)^5+2^61:2^31]=

Answer 1

a)

{ [ ( 5⁴ - 2² x 3 x 5² ) : 13 + 3 x 5² ] : 2² + 11²⁰⁰ : 11¹⁹⁹ + 2⁶ } : ( 2² x 5² ) = 1

= { [ 5² x ( 5² - 4 x 3 ) : 13  + 3 x 5² ] : 4 + 11 ⁽ ²⁰⁰ ⁻ ¹⁹⁹ ⁾ + 2⁶ } : ( 2 x 5 )² =

= { [ 25 x ( 25 - 12 ) : 13 + 3 x 25 ] : 4 + 11¹ + 64 } : 10² =

= [ ( 25 x 13 : 13 + 3 x 25 ) : 4 + 11 + 64 ] : 100 =

= [ 25 x ( 1 + 3 ) : 4 + 11 + 64 ] : 100 =

= ( 25 + 75 ) : 100 =

= 100 : 100 =

= 1

_______________________________________

b)

{ 5⁰ + 7 x 7⁴ x 7⁵ + [ ( 2³ )² ]⁵ } : [ ( 6² )⁰ + ( 7² ) ⁵ + 2⁶¹ : 2³¹ ] = 1

= ( 1 + 7 ⁽ ¹ ⁺ ⁴ ⁺ ⁵ ⁾  + 2 ³ˣ²ˣ⁵ ) : ( 6⁰ + 7²ˣ⁵ + 2 ⁽ ⁶¹ ⁻ ³¹ ⁾ ) =

= ( 1 + 7¹⁰ + 2³⁰ ) : ( 1 + 7¹⁰ + 2³⁰ ) =

=  1