Answer:
Option D and E are equivalent to the given expression.
Step-by-step explanation:
Given : [tex]\frac{21^x}{3^x}[/tex]
Solution:
[tex]\frac{21^x}{3^x}[/tex]
Using identity : [tex]\frac{a^x}{b^x} = (\frac{a}{b})^x[/tex]
[tex](\frac{21}{3})^x[/tex] -- Option E
Now this can be written as [tex]21^x = 7^x \times 3^x[/tex]
Identity : [tex]a^x \times b^x = (a \cdot b)^x[/tex]
[tex]\frac{7^x \times 3^x}{3^x}[/tex] -- Option D
[tex](7)^x[/tex] -- Option D
Thus Option D and E are equivalent to the given expression.
