Đáp án: f ) $\frac{22}{35}$
g ) $\frac{4}{3}$
h ) 6
i ) $\frac{4}{7}$
Giải thích các bước giải:
f ) ($2^{4}$ . $5^{2}$ . $11^{2}$ . 7 ) : ( $2^{3}$ . $5^{3}$ . $7^{2}$ . 11 )
= [ $2^{3}$ . $5^{2}$ . 11 . 7 ( 2 . 11 ) ] : [ $2^{3}$ . $5^{2}$ . 11 . 7 ( 5 . 7 ) ]
= 22 : 35
= $\frac{22}{35}$
g ) ( $2^{10}$ . $3^{10}$ - $2^{10}$ . $3^{9}$ ) : ( $2^{9}$ . $3^{10}$ )
= [ $2^{9}$ . $3^{9}$ . ( 2 . 3 - 2 ) ] : ( $2^{9}$ . $3^{9}$ . 3 )
= 4 : 3
= $\frac{4}{3}$
h ) ( 11 . $3^{22}$ . $3^{7}$ - $9^{15}$ ) : ( 2 . $3^{14}$ )^2
= ( 11 . $3^{22}$ . $3^{7}$ - $3^{30}$ ) : 4 . $3^{28}$
= ( 11 . $3^{29}$ - $3^{30}$ ) : 4 . $3^{28}$
= [ $3^{28}$ ( 11 . 3 - $3^{2}$ ) ] : ( $3^{28}$ . 4 )
= ( 33 - 9 ) : 4
= 24 : 4
= 6
i ) ( $5^{11}$ . $7^{12}$ + $5^{11}$ . $7^{11}$ ) : ( $5^{12}$ . $7^{11}$ + 9 . $5^{11}$ . $7^{11}$ )
= [ $5^{11}$ . $7^{11}$ ( 7 + 1 ) ] : [ $5^{11}$ . $7^{11}$ ( 5 + 9 )
= 8 : 14
= $\frac{8}{14}$
= $\frac{4}{7}$
