Consider the expression 0.8^x-3 . Which of the following is an equivalent expression? A- 0.8^x/3 B-0.8^3/x C-0.8^x/0.8^3 D-0.8^3/0.8^x

Respuesta :

C. 0.8^x × 0.8^-3
0.8^0 / 0.8^3

Answer:

The correct option is C.

Step-by-step explanation:

The given expression is

[tex]0.8^{x-3}[/tex]

According to the property of exponent.

[tex]x^{a-b}=\frac{x^a}{x^b}[/tex]

Using this property we get,

[tex]0.8^{x-3}=\frac{0.8^x}{0.8^3}[/tex]

Therefore the correct option is C.