Respuesta :
Answer:
The exponential form is [tex]\frac{27}{125}=(\frac{3}{5})^3[/tex]
Step-by-step explanation:
Given : Number [tex]\frac{27}{125}[/tex]
To find : What is number in exponential form ?
Solution :
Writing number in exponential form is writing number in power form,
We know, [tex]27=3\times 3\times 3[/tex] and [tex]125=5\times 5\times 5[/tex]
[tex]\frac{27}{125}=\frac{3\times 3\times 3}{5\times 5\times 5}[/tex]
[tex]\frac{27}{125}=\frac{3^3}{5^3}[/tex]
[tex]\frac{27}{125}=(\frac{3}{5})^3[/tex]
Therefore, The exponential form is [tex]\frac{27}{125}=(\frac{3}{5})^3[/tex]