Question

rút gọn các biểu thức

a)2⁵.3² / 2³.3

b)5³.6 /  5.2²

c)8.5²- 8.4² / 2².3²

d)7⁴.2²+ 7⁴.3 / 49.26

Answer 1

Giải:

a,\(\dfrac{2^5.3^2}{2^3.3}=2^2.3=12\)

b, \(\dfrac{5^3.6}{5.2^2}=\dfrac{5^3.2.3}{5.2^2}=\dfrac{5^2.3}{2}=37,5\)

c, \(\dfrac{8.5^2-8.4^2}{2^2.3^2}=\dfrac{8.\left(5^2-4^2\right)}{2^2.3^2}=\dfrac{8.9}{4.9}=2\)

d, \(\dfrac{7^4.2^2+7^4.3}{49.26}=\dfrac{7^4.\left(2^2+3\right)}{7^2.26}=\dfrac{7^4.7}{7^2.26}=\dfrac{343}{26}\)

Have a nice day!

Answer 2

a/ \(\dfrac{2^5\cdot3^2}{2^3\cdot3}=2^2\cdot3=12\)

b/ \(\dfrac{5^3\cdot6}{5\cdot2^2}=\dfrac{5^2\cdot6}{2^2}=\dfrac{150}{4}=37.5\)

c/ \(\dfrac{8\cdot5^2-8\cdot4^2}{2^2\cdot3^2}=\dfrac{200-2048}{36}=-\dfrac{1848}{36}\)

Answer 3

a)\(2^5.3^2\) /\(2^3.3\)

=\(2^3.2^2.3.3\)/\(2^3.3\)

=\(2^2.3\)/1

=12/1

b)\(5^3.6\)/5.\(2^2\)

=\(5^2.2.2.2\)/5.\(2^2\)

=5.2/1

=10/1

 

Answer 4

Giải:

a, \(\dfrac{2^5.3^2}{2^3.3}=2^2.3=12\)

b, \(\dfrac{5^3.6}{5.2^2}=\dfrac{5^3.2.3}{5.2^2}=\dfrac{5^2.3}{2}=37,5\)

c, \(\dfrac{8.5^2-8.4^2}{2^2.3^2}=\dfrac{8\left(5^2-4^2\right)}{4.9}=\dfrac{8.9}{4.9}=2\)

d, \(\dfrac{7^4.2^2+7^4.3}{49.26}=\dfrac{7^4.\left(2^2+3\right)}{7^2.26}=\dfrac{7^2.7}{26}=\dfrac{343}{26}\)

Have a nice day!