Question

[buivanhaianh]

viết các biểu thức sau dưới dạng một lũy thừa]

a, 25.5^3.1/25.5^2

b, 5^2.3^5.( 3/5 ) ^2

c, ( 1/7 )^2.1/7.49/2

Answer 1

[s2_Trunks_2s]

a, \(\frac{25.5^3.1}{25.5^2}=\frac{5^2.5^3.1}{5^2.5^2}=\frac{5^5}{5^4}=5\)

b, \(5^2.3^5.\left(\frac{3}{5}\right)^2=5^2.3^5.\frac{9}{25}=5^2.\frac{9}{25}.3^5=9.3^5=3^2.3^5=3^7\)

c, \(\left(\frac{1}{7}\right)^2\cdot\frac{1}{7}\cdot\frac{49}{2}=\frac{1}{49}\cdot\frac{1}{7}\cdot\frac{49}{2}=\frac{1}{49}\cdot\frac{49}{2}\cdot\frac{1}{7}=\frac{1}{2}\cdot\frac{1}{7}=\frac{1}{14}\)