Question

Answer 1

`b)`

`B = [ 2^3 . 9^4 + 9^3 . 45 ] / [ 9^3 . 10 - 9^3 ]`

`B = [ 2^3 . 9^4 + 9^4 . 5 ] / [ 9^3 ( 10 - 1 ) ]`

`B = [ 9^4 ( 2^3 + 5 ) ] / [ 9^4 ]`

`B = 8 + 5 = 13`

Answer 2

\(B = \dfrac{ 2^3 . 9^4 + 9^3 . 45 }{ 9^3 . 10 - 9^3 } = \dfrac{ 2^3 . 9^4 + 9^3 . 9.5 }{ 9^3 . ( 10-1) } \)\(=\) \(\dfrac{ 9^4 . ( 2^3 + 5 ) }{ 9^4 } = 2^3 + 5 = 8 + 5=13\)

Answer 3

\(B=\dfrac{2^3.9^4+9^3.9.5}{9^3.\left(10-1\right)}=\dfrac{2^3.9^4+9^4.5}{9^4}\)

\(=\dfrac{\left(2^3+5\right).9^4}{9^4}=\dfrac{8+5}{1}=\dfrac{13}{1}=13\)